Question

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

Answer 1

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).