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Find an equation of the line that has a slope of 2 and a y intercept of -3

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A straight line can be written in the form y=mx+b, where m is the slope and b is the y-intercept.

In this case, we are given the slope (2) and the y-intercept (-3).

y=2x-3

Good luck,

Paul

Posted on Dec 06, 2017

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SOURCE: Find a slope intercept equation for the line with the indicated slope and y intercept Slope 4/5 y intercept (0-9) The equation is?

http://www.webmath.com/equline3.html

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SOURCE: A line with a slope of 1 passes through the point 4, 8.What is its equation in slope-intercept form?

2- 4 - 8 - 16

Posted on Nov 03, 2015

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The equation of the straight line PQ is 3-2kx+k+1=12,calculate,in each case,the numerical value of k if the line PQ is parrallel to the line y=4x+7;is perpendicular to the line y=4x+7;


that sounds like a problem about "slopes" so I am looking at using the derivative, which is basically the slope of the graph.
- the equation of line PQ can be simplified to y(x) = -2kx + k -8
- derivative relative to X (k is a constant) gives you -2k
- derivative of y(x) = 4x + 7 relative to x gives you 4

if the lines are parallel then the slopes are equal:
-2k=4 gives you k = -2 => your function becomes y = 4x - 8

if the lines are perpendicular the two slopes multiplied together give you -1:
-2k * 4 = -1 gives you k=1/8 => function becomes y = -1/4x - 7/8 or in other words y = -(2x+7)/8

I have made graphic representation and it looks to be correct.
I hope it makes sense.

Apr 12, 2017 | Homework

1 Answer

The equation of the straight line PQ is (3-2k)x+(k+1)=12,calculate,in each case,the numerical value of k


I think you are missing some information in the question. Please provide the complete question.

Apr 12, 2017 | Homework

2 Answers

A line with 0 slope


It's a horizontal line.

Mar 29, 2017 | Homework

2 Answers

The slope of a line through 5 -5 and 5 0


It's a vertical line so the slope is infinite.

Mar 29, 2017 | Homework

1 Answer

How many angles does a regular polygon have when its interior angle is 176 degrees


Lots and lots and lots. When you think the angle is nearly 180 degrees or a straight line, it must have lots and lots of sides.

The total of the interior angles of a polygon is given by (n-2)180, so the angle of each interior angle of a regular polygon is given by ((n-2)180)/n.

Now we set this to be equal to 176 and solve for n.
(n-2)180 = 176
-----------
n

Multiplying both sides by n, we get (n-2) 180 = 176n

Expanding the left side of the equation, 180n - 360 = 176n

Subtracting 176n from both sides and adding 360 to both sides, we get

180n - 176n = 360

4n = 360

Dividing both sides by 4, n = 90

Thus, you need a regular polygon of 90 sides to get an internal angle of 176 degrees.

Hopefully you don't have to construct it.

Good luck,

Paul

Mar 26, 2017 | Homework

1 Answer

How many sides does a regular polygon have when the interior degrees is 176?


Lots and lots and lots. When you think the angle is nearly 180 degrees or a straight line, it must have lots and lots of sides.

The total of the interior angles of a polygon is given by (n-2)180, so the angle of each interior angle of a regular polygon is given by ((n-2)180)/n.

Now we set this to be equal to 176 and solve for n.
(n-2)180 = 176
-----------
n

Multiplying both sides by n, we get (n-2) 180 = 176n

Expanding the left side of the equation, 180n - 360 = 176n

Subtracting 176n from both sides and adding 360 to both sides, we get

180n - 176n = 360

4n = 360

Dividing both sides by 4, n = 90

Thus, you need a regular polygon of 90 sides to get an internal angle of 176 degrees.

Hopefully you don't have to construct it.

Good luck,

Paul

Mar 26, 2017 | Homework

1 Answer

What is the slope and y intercept of -2,1 and 5,-5


slope or m = (y2 -y1)/(x2-x1)
always start with the same point.

m = (1 - (-5))/(-2-5)
m = (1 + 5)/(-7)
m = 6/-7
m = -6/7

The y-intercept is the b in the equation y=mx+b.
We can use either point to calculate b. Let's use (-2,1). So every time we see x, we put in -2, and every time we see y, we put in 1.

y = -6/7x + b
1 = -6/7 (-2) + b
1 = 12/7 + b
1 = 1 5/7 + b
-5/7 = b
So, y = -6/7x - 5/7

To check, we substitute in the other point and see if the left side is equal to the right side.

LS RS
-5 -6/7(5) - 5/7
-5 -30/7 - 5/7
-5 -35/7
-5 -5
LS = RS
QED


Good luck,

Paul

Mar 23, 2017 | Homework

1 Answer

Solve: 7(3x+5) = 8x - (1-4x)?


Let's rewrite as

7(3x+5) = 8x -1(1-4x)
Let's distribute
21x + 35 = 8x -1 + 4x
collect like terms
21x + 35 = 12x -1
Put all the x's on one side by subtracting 12x from both sides
21x -12x + 35 = 12x -1 -12x
simplify
9x + 35 = -1
get all the constants on the right side
9x + 35 - 35 = -1 - 35
9x = -36
divide both sides by 9 to get x by itself
9x /9 = -36/9
x = -4

check in original equation

7(3(-4)+5) = 8(-4) -(1-4(-4))
7(-12+5) = -32 - (1+16)
7 (-7) = -32 - (17)
-49 = -32-17
-49 = -49

Jan 04, 2017 | Homework

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