Question

A line passes through (3, 7) and (6, 9). Which equation best represents the line? (4 points)

y = 3 over 2x + 5

y = 2 over 3x + 5

y = 3x + 2

y = 2 over 3x + 2
PLEASE HURRYYYY

Answer 1

`\text{The slope-intercept form: }y=mx+b\\\text{The point-slope form: }y-y_1=m(x-x_1)\\\\m=(y_2-y_1)/(x_2-x_1)\\-------------------------------\\\text{We have the points}\ (3,\ 7)\ \text{and}\ (6,\ 9).\ \text{Substitute:}\\\\m=(9-7)/(6-3)=(2)/(3)\\\\y-7=(2)/(3)(x-3)\qquad|\text{use distributive property}\\\\y-7=(2)/(3)x-2\qquad|+7\\\\\boxed{y=(2)/(3)x+5}`