SOLUTION: How do you write an equation in slope-intercept form of the line satisfying the given conditions. Passes through (5,4) and (6,-1).

Question 95329: How do you write an equation in slope-intercept form of the line satisfying the given conditions.
Passes through (5,4) and (6,-1).
Found 2 solutions by checkley71, jim_thompson5910:
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
SLOPE=(-1-4)/(6-5)=-5/1=-5
NO REPLACE X & Y WITH A SET OF POINTS & SOLVE FOR THE Y INTERCEPT:
4=-5*5+b
4=-25+b
b=4+25
b=29 Y INTERCEPT
Y=-5X+29 ANSWER.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Solved by pluggable solver: Finding the Equation of a Line

First lets find the slope through the points (,) and (,)

Start with the slope formula (note: (,) is the first point (,) and (,) is the second point (,))

Plug in ,,, (these are the coordinates of given points)

Subtract the terms in the numerator to get . Subtract the terms in the denominator to get

So the slope is

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Now let's use the point-slope formula to find the equation of the line:

------Point-Slope Formula------
where is the slope, and (,) is one of the given points

So lets use the Point-Slope Formula to find the equation of the line

Plug in , , and (these values are given)

Distribute

Multiply and to get . Now reduce to get

Add to both sides to isolate y

Combine like terms and to get

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Answer:

So the equation of the line which goes through the points (,) and (,) is:

The equation is now in form (which is slope-intercept form) where the slope is and the y-intercept is

Notice if we graph the equation and plot the points (,) and (,), we get this: (note: if you need help with graphing, check out this solver )

Graph of through the points (,) and (,)

Notice how the two points lie on the line. This graphically verifies our answer.

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