Question

Graph the line with slope of -4/5 and on the x intercept of 3

Answer 1

Solution

Note: Equation of a Line os given as

$y=mx+c$

We are given that the slope is -4/5

That is m = -4/5

$y=-\frac{4}{5}x+c$

It has x intercept of 3, that is the point (3, 0)

Substituting we have

$\begin{gathered} y=-\frac{4}{5}x+c \\ 0=-\frac{4}{5}(3)+c \\ c=\frac{12}{5} \\ Thus,\text{ we have} \\ y=-\frac{4}{5}x+\frac{12}{5} \end{gathered}$

The graph of the line is