Question

A linear function crosses the x-axis when x= -3 and the y axis when y = 12

Write the equation of the line.

Answer 1

y = m x + b equation of straight line

If x = 0 then

12 = b and we have y = m x + 12

If y - 0 then

0 = m (-3) + 12 and m = 4

y = 4 x + 12 is the final equation

Check:

let x = -3 then y = 0 as specified