Write an equation of the line that passes through the given point P and has the given slope. - Show Work Please

Question

P(2,0)

 

Slope= -3 

Answer 1

This is a twist to the other problems, Crissel. Again, we can use the formula y = mx + b. However, this time they give us a point on the line.

 

We know the slope is -3. We also know that since the line passes thru point P (2, 0), then when x = 2, y = 0. We can use this info to determine our y-intercept. 

 

If y = mx + b, then 

 

0 = (-3)(2) + b

0 = -6 + b

6 = b = y-intercept

 

The equation of the line is y = -3x + 6