Question

What is an equation for the linear function whose graph contains the point (2, 5) with a slope of -5?

Answer 1

y=-5x+15.

Explanation:

1. if the given slope is (-5), then it is possible to make up the required equation in slope-interception form: y=-5x+interception, where 'interception' is unknown number;

2. in order to calculate the 'interception' it is enought to substitute the given coordinates of the point into the last equation (y=5; x=2):

5=-5*2+interception; ⇒ interception=15. Then

3. finally, the required equqaiton is y=-5x+15.