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What is the slope-intercept equation of the line below?(0,3) (4,-2)

User Dvanderb
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The slope-intercep form is


y=mx+b

where m is the slope and b the y-intercept. We can find m by means of the following formula


m=(y_2-y_1)/(x_2-x_1)

where these values come from the given points,


\begin{gathered} (x_1,y_1)=(0,3) \\ (x_2,y_2)=(4,-2) \end{gathered}

Then, by substituting these values into the slope formula, we get


m=(-2-3)/(4-0)

which gives


m=-(5)/(4)

Then, our line equation has the form


y=-(5)/(4)x+b

Now, we can find b by subtituting one of the given point into our last equation, that is, If we substitute point (0,3) we obtain


\begin{gathered} 3=-(5)/(4)(0)+b \\ 3=b \end{gathered}

Then, the line equation in slope-intercept form is


y=-(5)/(4)x+3

User MajidL
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