Question

14. Find the equation of the Plsssss help this is for algebra 1 20 points!!!!line containing the points (2,-2) and (4, 1).(A) 3x - 2y = 10[B] - 2x + 3y = -5(C) 3x - 2y = -5[D] - 2x + 3y = 10

Answer 1

The equation of a line is:

$y-y_1=m(x-x_1)$

where (x1,y1) is a point in the line and m is the slope.

In our case we have two points but we don't have the slope yet, to find it we need to remember that the slope is given by:

$m=\frac{y_2-y_1}{x_2-x_1}$

Then, in our case:

$\begin{gathered} m=\frac{1-(-2)}{4-2} \\ =\frac{1+2}{2} \\ =\frac{3}{2} \end{gathered}$

Then, the equation of the line is:

$\begin{gathered} y-1=\frac{3}{2}(x-4) \\ 2y-2=3x-12 \\ 3x-2y=-2+10 \\ 3x-2y=10 \end{gathered}$

Therefore the answer is A.