A line has gradient -2 and y-intercept 5. Find its x-intercept.

Question

A line has gradient -2 and y-intercept 5. Find its x-intercept.

Answer 1

The gradient is synonymous with the slope:

y = mx + b is slope intercept form

m = slope, b = y-intercept

 

The equation of the line is:

y = -2x + 5

 

The x-intercept is where y = 0

0 = -2x + 5

2x = 5

x = 5/2 or 2.5

 

The x-intercept is at 2.5 or the point (2.5, 0)