SOLUTION: find the equation of the line that has a slope of -8 and passes through the point (-1,-5) write the equation in standard form.

Question 225449: find the equation of the line that has a slope of -8 and passes through the point (-1,-5) write the equation in standard form.
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
Find the equation of the line that has a slope of -8 and passes through the point (-1,-5) write the equation in standard form.

Step 1. The slope-intercept form is given as y=mx+b where m is the slope and b is the y-intercept when x=0 or at point (0,b). From the slope intercept form we can derive the standard form given as Ax+By=C where A, B, and C are constants. Now, let's find the equation of the line in slope-intercept form

Step 2. Here, we have to find the line with slope m=-8 going through point (-1,-5).

Step 3. Given two points (x1,y1) and (x2,y2), then the slope m is given as

Step 4. Let (x1,y1)=(-1,-5) or x1=-1 and y1=-5. Let other point be (x2,y2)=(x,y) or x2=x and y2=y.

Step 5. Now we're given . Substituting above values and variables in the slope equation m yields the following steps:

Step 6. Multiply x+1 to both sides to get rid of denominator on right side of equation.

Step 7. Add -5 to both sides of the equation

Step 7. The equation in slope-intercept form is where the slope m=-8 and the y-intercept b=-13.

Note: the above equation can be rewritten in standard form by adding 8x to both sides of the equation.

Step 8. ANSWER: The equation of the line in standard form is .

And the graph is shown below which is consistent with the above steps.

I hope the above steps and explanation were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J
http://www.FreedomUniversity.TV

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