SOLUTION: Write the slope-intercept form of the equation of the line through the given points. Through: (3 , 5 ) and (4 , - 3 )

Algebra ->  Linear-equations -> SOLUTION: Write the slope-intercept form of the equation of the line through the given points. Through: (3 , 5 ) and (4 , - 3 )      Log On


   

Question 979096: Write the slope-intercept form of the equation of the line through the given points.
Through: (3 , 5 ) and (4 , - 3 )
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Solved by pluggable solver: Find the equation of line going through 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) = (3, 5) and (x2, y2) = (4, -3).
Slope a is a+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29+=+%28-3-5%29%2F%284-3%29+=+-8.
Intercept is found from equation a%2Ax%5B1%5D%2Bb+=+y%5B1%5D, or -8%2A3+%2Bb+=+29. From that,
intercept b is b=y%5B1%5D-a%2Ax%5B1%5D, or b=5--8%2A3+=+29.

y=(-8)x + (29)

Your graph:




so, your equation is y=-8x%2B29