SOLUTION: Write the equation of the line that passes through the points (3,5) and (-1,10)

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Question 54978: Write the equation of the line that passes through the points (3,5) and (-1,10)
Answer by funmath(2873) About Me  (Show Source):
You can put this solution on YOUR website!
I've done this one earlier today. I put that one in slope intercept form, for you I'm going to put it in standard form, since you didn't specify a preference.
Write the equation of the line that passes through the points (3,5) and (-1,10)
First we need to find the slope between the two points because in order to find the equation of a line, we need one point and a slope.
The slope formula: highlight%28m=%28y2-y1%29%2F%28x2-x1%29%29
(x1,y1)=(3,5) and (x2,y2)=(-1,10)
m=%2810-5%29%2F%28-1-3%29
m=5%2F-4
Now, use the point slope formula:highlight%28y-y1=m%28x-x1%29%29, where m=slope and (x1,y1) is a given point. For this problem, m=-5/4 and (x1,y1)=(3,5)
y-5=%28-5%2F4%29%28x-3%29
4%28y-5%29=4%28-5%2F4%29%28x-3%29
4y-20=-20%2F4%28x-3%29
4y-20=-5%28x-3%29
4y-20=-5x%2B15
4y-20%2B20=-5x%2B15%2B20
4y=-5x%2B35
5x%2B4y=5x-5x%2B35
5x%2B4y=35 <---standard form of a linehighlight%28Ax%2BBy=C%29
Happy Calculating!!!