SOLUTION: Could someone please help with this problem: Give the equation of the line which passes through (-8, 11) and has a slope of -7/4. (that is m = -7/4) Give the equation in slope-i

Question 88160: Could someone please help with this problem:
Give the equation of the line which passes through (-8, 11) and has a slope of -7/4. (that is m = -7/4) Give the equation in slope-intercept form and standard form.
Thanks.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
If you want to find the equation of line with a given a slope of which goes through the point (,), you can simply use the point-slope formula to find the equation:

---Point-Slope Formula---
where m is the slope, and (,) is the given point

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

Plug in , , and (these values are given)

Distribute

Multiply the negatives

Multiply and to get

Reduce

Add to both sides

Combine like terms
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Answer:

So the equation of the line with a slope of which goes through the point (,) is:

which is now in form where the slope is and the y-intercept is

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

Graph of through the point (,)
and we can see that the point lies on the line. Since we know the equation has a slope of and goes through the point (,), this verifies our answer.

Now lets convert it to standard form

Solved by pluggable solver: Converting Linear Equations in Standard form to Slope-Intercept Form (and vice versa)

Convert from slope-intercept form (y = mx+b) to standard form (Ax+By = C)

Start with the given equation

Multiply both sides by the LCD 4

Distribute and multiply

Add 7x to both sides

Simplify

The original equation (slope-intercept form) is equivalent to (standard form where A > 0)

The equation is in the form where , and

Answer:
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So the equation in slope-intercept is

and the equation in standard form is

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