Question

Write an equation of the line that passes through the points (-2,-7) and (0,-4). ​

Answer 1

Answer:

Step-by-step explanation:

( $x_{1}$ , $y_{1}$ )

( $x_{2}$ , $y_{2}$ )

m = $\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$

y - $y_{1}$ = m( x - $x_{1}$ ) point - slope form of a line.

y = mx + b slope- intercept form of a line.

~~~~~~~~~~~~~~~~~

( - 2, - 7 )

( 0, - 4 )

m = $\frac{- 4 - (-7)}{0 - (- 2)}$ = $\frac{3}{2}$

y - ( - 4 ) = $\frac{3}{2}$ ( x - 0 )

y + 4 = $\frac{3}{2}$ x

y = $\frac{3}{2}$ x - 4 slope- intercept form

3x - 2y = 8 standard form