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 [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex], then solve for the y-intercept.
[tex]m=\frac{15-(-3)}{-10-5} =\frac{18}{-15} =-\frac{6}{5}[/tex]
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.
