Question

Find the equations of the lines:with x-intercept of -2 and a slope 3.

Answer 1

The equation of a line with x-intercept b and slope m is given by:

$y=m(x-b)$

Substitute m=3 and b=-2:

$\begin{gathered} y=3(x-(-2)) \\ =3(x+2) \\ =3x+6 \end{gathered}$

Therefore, the equation of a line with slope 3 and x-intercept -2 is:

$y=3x+6$