Question

Given the point (4,5) and the slope 6, find y when x=24

Answer 1

1) we find out the equation of the line
point-slope form; we need a point (x₀,y₀) and the slope:
y-y₀=m(x-x₀)

In this case:
point: (4,5)
slope: 6

Therefore:
y-5=6(x-4)
y-5=6x-24
y=6x-24+5
y=6x-19  (slope-intercepted form)

2)we find out "y" when x=24
if x=24; then
y=6(24)-19=144-19=125

Answer: y=125