Question

Graph the line passing through (−2,3) whose slope is m=4.

Answer 1

The equation of a line whose slope is m, is given by,

$y=mx+c$

Given that the slope is 4, the equation becomes,

$y=4x+c$

The line passes through (-2,3) so it must satisfy the equation,

$\begin{gathered} 3=4(-2)+c \\ 3=-8+c \\ c=3+8 \\ c=11 \end{gathered}$

Substitute the value in the equation,

$y=4x+11$

Now, that we know that the line has a y-intercept of 11 units, and it passes through (-2,3), the graph of the line can be obtained as follows,

This is the graph of the given line.