Exercises: Finding line equations

Determine the y-intercept t

For a function, the y-intercept is equal to the value at $x=0$.

$t=h(0)=3$

Now use the two given points to determine the gradient $m$ using the difference quotient.

$m=\frac{3-4}{0-(-2)}=\frac{-1}{2}=-\frac{1}{2}$

Put together the line equation.