Question

Write the equation of the lines which have the following parameters. Write the equation in slope intercept form.

1. slope = 3; y-intercept = 5
2. slope = 2/5; y-intercept =-10
3. slope = -3/2; y-intercept = -2
4. slope = 18; y-intercept = 0
5. slope = -3.253; y-intercept =-14.159
6. Challenge problem: x-intercept = -2; y-intercept = 6

Answer 1

Explanation:

Slope intercept form is :

y = mx + b

where m is the slope and b is the y-intercept.

So, given slope and y-intercept, all you have to do is plug in slope for m and y-intercept for b.

1.) y = 3x + 5

2.) y = 2/5x - 10

3.) y = -3/2x - 2

4.) y = 18x

5.) y = -3.253x - 14.159

For question 6, you need to calculate the slope given the two points then plug in the slope and y-intercept to get the equation.

So to find slope, you use the equation below:

slope = (y2 - y1) / (x2 - x1) = (6-0) / (0 - -2) = (6) / (2) =3

6.) y = 3x + 6