Question

A line has an x-intercept of 2 and a y-intercept of 5. What is the equation of the line?

Answer 1

y = -2.5x + 5

Explanation:

Here, given the x and y intercept, we want to write the equation of the line

The general equation form is;

y = mx + b

where m is the slope and b is the y-intercept

Using the given points, we have that;

(2,0) and (0,5)

b is 5

so we have;

y = mx + 5

to get m, set (2,0); x = 2 and y = 0

0 = 2m + 5

2m = -5

m = -5/2 = -2.5

So the equation is;

y = -2.5x + 5