Question

What is the equation of the line that passes through the point (-4, 6) and has aslope of -5/4

Answer 1

We have the following:

$y=mx+b$

where m is the slope and b is the y-intercept

now, for b, the line passes through the point (-4, 6)

therefore, x = -4 and y = 6

replacing:

$\begin{gathered} 6=-\frac{5}{4}\cdot-4+b \\ 6=5+b \\ b=1 \end{gathered}$

Therefore, the equation is:

$y=-\frac{5}{4}x+1$

check:

$\begin{gathered} y=-\frac{5}{4}+-4+1 \\ y=5+1 \\ y=6 \end{gathered}$