Question

5-13)

-10-15
what’s the equation for the line that passes through points (5,-3) and (-10,15)

Answer 1

Answer: y=-6/5x+3

Explanation:

To find the equation of the line that passes through the points, you want to first find the slope by using the formula
`m=(y_2-y_1)/(x_2-x_1)`, then solve for the y-intercept.

`m=(15-(-3))/(-10-5) =(18)/(-15) =-(6)/(5)`

Now that we have the slope, we can plug in a given point and solve for the y-intercept.

15=-6/5(-10)+b [multiply]

15=12+b [subtract both sides by 12]

b=3

Now that we have the y-intercept, we know the equation is y=-6/5x+3.