Answer:
Step-by-step explanation:
Point-slope form implies that we need the slope. Let's find that first. Point-slope form, btw, is [tex]y-y_1=m(x-x_1)[/tex], and the formula to find slope is
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] so filling in:
[tex]m=\frac{2-(-2)}{6-3}=\frac{4}{3}[/tex] so the slope is a fraction. No problem. It looks the point (3, -2) was used to write the line, so the line in point-slope form using that point is
[tex]y-(-2)=\frac{4}{3}(x-3)[/tex] which simplifies a bit to
[tex]y+2=\frac{4}{3}(x-3)[/tex]. Rewriting in standard form using integers means that we get x and y on the same side of the equals sign, and no fractions allowed. Begin by distributing through the parenthesis to get
[tex]y+2=\frac{4}{3}x-4[/tex] and get rid of the 3 in the denominator by multiplying everything by 3:
3y + 6 = 4x - 12. Now get the x and y on the same side and the constants on the other side.
-4x + 3y = -18. The choice you want is the first one.
