SOLUTION: Graph the lineae equation x-4y=8 by using the intercepts.

Question 417445: Graph the lineae equation x-4y=8 by using the intercepts.
Found 2 solutions by ewatrrr, MathLover1:
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

Hi
Graphing this linear equation using the intercepts.
x-4y = 8 |when x=0 then y= -2 AND when y=0 then x = 8
Pt(0,-2) and Pt(8,0) on the line. Plot Points and connect with a line

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

Graph the line equation by using the intercepts
the is

the is

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

Reduce

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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