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{ =}(-5)/(4) \end{gathered}`

Solution

The standard equation of a line

`y=mx+b`

Where

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

The equation of the line is

`y=(-5)/(4)x+7`