SOLUTION: write an equation in slopw-intercept form if possible of the line trough the pair of points (-7,9) and (-4,5)

Question 45452: write an equation in slopw-intercept form if possible of the line trough the pair of points (-7,9) and (-4,5)
Answer by tutorcecilia(2152) (Show Source): You can put this solution on YOUR website!
First, I would find the slope of the line:
m = (y2-y1)/(x2-x1) = (5-9)/(-4-(-7))= -4/3
.
Use the slope-intercept formula (y=mx+b) to find the y-intercept(b).
Pick point (-7,9) and plug-in the values:
(9)=(-4/3)(-7)+ b
9 = 28/3 + b
9-28/3 = b
9/1-28/3=b
-1/3 = b
.
Plug the slope (m) and the y=intercept (b) into the formula y-mx+b:
y=(-4/3)x -1/3
.
Check the formula by plugging in one of the given points. Pick point (-7,9):
(9)=(-4/3)(-7) - 1/3
9=9 Checks out.

RELATED QUESTIONS
write an equation in slope-intercept form if possible of the line through the pair of... (answered by checkley71)

Write an equation, in slope-intercept form if possible, of the line through the pair of... (answered by ewatrrr)

Find an equation of the line containing the given pair of points (-2, -4) and (-9, -5)... (answered by stanbon)

Write an equation of the line through each pair of points in slope-intercept form. (2,... (answered by mananth)

Find an equation of the line containing the given pair of points. Write your final answer (answered by Boreal)

Write an equation in slope-intercept form for the line that contains each pair of points: (answered by solver91311)

Write an equation in slope-intercept form for the line that contains each pair of points... (answered by rfer)

Write an equation in slope-intercept form of the line through points S(�5, �7) and T(10,... (answered by mananth,josmiceli)