SOLUTION: Write the slope intercept form of the equation of the line described. through:(-1,4), parallel to y=-5x+2

Question 224552: Write the slope intercept form of the equation of the line described.
through:(-1,4), parallel to y=-5x+2
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
Write the slope intercept form of the equation of the line described.
through:(-1,4), parallel to y=-5x+2

Step 1. We can find the slope by recognizing that parallel lines have the same slope. Since is in slope-intercept form given as y=mx+b where the slope m=-5 and the y-intercept b=2 when x=0 or at point (0,b) or (0,2).

Step 2. Now we have to find the line with slope m=-5 going through point (-1,4).

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

Step 4. Let (x1,y1)=(-1,4) or x1=-1 and y1=4. 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 4 to both sides of the equation

Step 7. ANSWER: The equation in slope-intercept form is

Note: the above equation can be rewritten as

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

Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc

Equation describes a sloping line. For any
equation ax+by+c = 0, slope is .

X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. -1/5 = -0.2.
Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is -1/1 = -1.
Slope is -5/1 = -5.
Equation in slope-intercept form: y=-5*x+-1.

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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