Question

How do i solve this problemjust to save time the question is: “A line passes through the point (4,2) and has a slope of -5/4, Write an equation in slope-intercept form for this line”

Answer 1

Given

$\begin{gathered} point\text{ \lparen4,2\rparen} \\ slope\text{ =}\frac{-5}{4} \end{gathered}$

Solution

The standard equation of a line

$y=mx+b$

Where

$\begin{gathered} m=\frac{-5}{4} \\ \\ x=4 \\ y=2 \end{gathered}$$\begin{gathered} 2=\frac{-5}{4}(4)+b \\ \\ 2=-5+b \\ 2+5=b \\ b=7 \end{gathered}$

The equation of the line is

$y=\frac{-5}{4}x+7$