Question

PLSSS HEELPPP A line passes through (3, -2) and (6, 2).

Answer 1

Answer:

b)

Step-by-step explanation:

Question (a)

$\sf let \ (x_1,y_1)=(3,-2)\\\\\sf let \ (x_2,y_2)=(6,2)$

$\sf slope \ (m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{2-(-2)}{6-3}=\dfrac43$

Point-slope formula: $\sf y-y_1=m(x-x_1)$

Substituting m and point (3, -2) into the formula:

$\sf y-(-2)=\dfrac43(x-3)$

$\sf y+2=\dfrac43(x-3)$

Question (b)

Rewrite in standard form:

$\sf y+2=\dfrac43x-4$

$\sf \implies y=\dfrac43x-6$

$\sf \implies 3y=4x-18$

$\sf \implies -4x+3y=-18$