SOLUTION: Write the equation in slope-intercept form of the line that contains the points (4, -7) and (0, 5).

Algebra ->  Graphs -> SOLUTION: Write the equation in slope-intercept form of the line that contains the points (4, -7) and (0, 5).      Log On


   



Question 722621: Write the equation in slope-intercept form of the line that contains the points (4, -7) and (0, 5).
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Solved by pluggable solver: FIND EQUATION of straight line given 2 points
hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (4, -7) and (x2, y2) = (0, 5).
Slope a is a+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29+=+%285--7%29%2F%280-4%29+=+-3.
Intercept is found from equation a%2Ax%5B1%5D%2Bb+=+y%5B1%5D, or -3%2A4+%2Bb+=+5. From that,
intercept b is b=y%5B1%5D-a%2Ax%5B1%5D, or b=-7--3%2A4+=+5.

y=(-3)x + (5)

Your graph:





so, your equation is y=-3x+%2B+5