SOLUTION: (2 points) Write the equation of a line with the slope, {\textstyle\frac{4}{3}}, which passes through the point (-1, -6). Write the answer in slope-intercept form.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: (2 points) Write the equation of a line with the slope, {\textstyle\frac{4}{3}}, which passes through the point (-1, -6). Write the answer in slope-intercept form.       Log On


   

Question 1177165: (2 points) Write the equation of a line with the slope, {\textstyle\frac{4}{3}}, which passes through the point (-1, -6). Write the answer in slope-intercept form.

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

a line with the slope, m=4%2F3, which passes through the point (-1, -6)
y=mx%2Bb where m is a slope and b y-intercept

y=mx%2Bb ...substitute m=4%2F3
y=%284%2F3%29x%2Bb ..........use given point to find b
-6=%284%2F3%29%28-1%29%2Bb
-6=-%284%2F3%29%2Bb
-6%2B%284%2F3%29=b
-18%2F3%2B4%2F3=b
b=-14%2F3

your equation is
y=%284%2F3%29x-14%2F3