Question

Write the equation of the line given an x -intercept of 10 and y -intercept of 5.

Answer 1

Answer:

y = (-1/2)x + 5

Step-by-step explanation:

As we move from the y-intercept (0, 5) to the x-intercept (10,0), x increases by 10 units while y decreases by 5 units.  Thus, the slope of this line is

m = rise / run = -5 / 10 = -1/2.

Since we know both the slope and the y-intercept of this line, let's use the slope-intercept form of the equation of a straight line:  y = mx + b.

Substituting -1/2 for m and 5 for b, we get:

y = (-1/2)x + 5