Question

What is the equation for a line between the points (-1,0) and (0,5)? *

O y=24+5
O y=51+2
O y = -2x+2
O y=5x+5

Answer 1

y = 5x + 5

Explanation:

Going from (-1, 0) to (0, 5), we see that x (the "run") increases by 1 and y (the "rise" increases by 5. Thus, the slope of the line connecting the two points is m = rise / run = 5/1, or just m = 5.

Let's use the slope-intercept form of the equation of a straight line:

y = mx + b

Substituting 5 for y, 0 for x and 5 for m, we get:

5 = 5(0) + b. Then b must be 5, and the equation of this line is

y = 5x + 5. This agrees with the fourth answer choice.