Question

slope43passes through (-5, -6)

Answer 1

hello

the question here request we find the equation of a straight line with a given slope passing through different points

step 1

find the intercept

to do this, we need to use the standard equation of a straight line to find that

$\begin{gathered} y=mx+c \\ m=slope \\ c=\text{intercept} \end{gathered}$$\begin{gathered} \text{slope}=\frac{4}{3} \\ \text{ points= (-5 , -6)} \end{gathered}$

x = -5 y = -6

$\begin{gathered} y=mx+c \\ -6=\frac{4}{3}(-6)+c \\ -6=-8+c \\ c=-6+8 \\ c=2 \end{gathered}$

step 2

write out the equation using the intercept and slope

$\begin{gathered} y=mx+c \\ y=\frac{4}{3}x+2 \end{gathered}$