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
[tex]y=mx+c[/tex]where m is the slope and c is the y-intercept.
Here, m =3. Substitute 3 for m int the equation y= mx+c.
[tex]y=3x+c[/tex]Now, to find the y-intercept, plug the given point (2,-7).
[tex]\begin{gathered} -7=3\cdot2+c \\ =6+c \\ c=-7-6 \\ =-13 \end{gathered}[/tex]Substitute the obtained value of c into y = 3x+c.
[tex]y=3x-13[/tex]which is the equation of the line with slope 3 and passes through (2, -7).
