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

Step-by-step explanation:

To find the equation of the line that passes through the points, you want to first find the slope by using the formula $m=\frac{y_2-y_1}{x_2-x_1}$, then solve for the y-intercept.

$m=\frac{15-(-3)}{-10-5} =\frac{18}{-15} =-\frac{6}{5}$

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.