SOLUTION: Use point-slope form to write the equation of the line passing through the two given points. Write the equation in slope-intercept form. P(8,0), Q(10,-6) y=___________ ___

Algebra ->  Points-lines-and-rays -> SOLUTION: Use point-slope form to write the equation of the line passing through the two given points. Write the equation in slope-intercept form. P(8,0), Q(10,-6) y=___________ ___      Log On


   

Question 388731: Use point-slope form to write the equation of the line passing through the two given points. Write the equation in slope-intercept form.
P(8,0), Q(10,-6)
y=_______________
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
First let's find the slope of the line through the points and


Note: is the first point . So this means that x%5B1%5D=8 and y%5B1%5D=0.
Also, is the second point . So this means that x%5B2%5D=10 and y%5B2%5D=-6.


m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 Start with the slope formula.


m=%28-6-0%29%2F%2810-8%29


m=%28-6%29%2F%282%29


m=-3




So the slope of the line that goes through the points and is m=-3


Now let's use the point slope formula:


y-y%5B1%5D=m%28x-x%5B1%5D%29


y-0=-3%28x-8%29


y-0=-3x%2B-3%28-8%29


y=-3x%2B24




So the equation that goes through the points and is y=-3x%2B24


Notice how the graph of y=-3x%2B24 goes through the points and . So this visually verifies our answer.
Graph of y=-3x%2B24 through the points and