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Write an equation in point slope form and slope intercept form (2,-7) slope =3

User Jadhachem
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Given that the line passes through (2,-7) and have slope 3.

Find the equation of line in slope-intercept form.

The slope intercept form is


y=mx+c

where m is the slope and c is the y-intercept.

Here, m =3. Substitute 3 for m int the equation y= mx+c.


y=3x+c

Now, to find the y-intercept, plug the given point (2,-7).


\begin{gathered} -7=3\cdot2+c \\ =6+c \\ c=-7-6 \\ =-13 \end{gathered}

Substitute the obtained value of c into y = 3x+c.


y=3x-13

which is the equation of the line with slope 3 and passes through (2, -7).

User GrovesNL
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