SOLUTION: Write the slope intercept form of the equation of the line described. through: (-4,0), parallel to y=3/4x-2

Algebra.Com
Question 224550: Write the slope intercept form of the equation of the line described.
through: (-4,0), parallel to y=3/4x-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: (-4,0), parallel to y=3x/4-2

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=3/4 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=3/4 going through point (-4,0).

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



Step 4. Let (x1,y1)=(-4,0) or x1=-4 and y1=0. 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+4 to both sides to get rid of denominator on right side of 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. 12/-3 = -4.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 12/4 = 3.
  • Slope is --3/4 = 0.75.
  • Equation in slope-intercept form: y=0.75*x+3.



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
RELATED QUESTIONS

write the slope-intercept form of the equation of the line described. through: (-5,1),... (answered by Cromlix)
Write the slope intercept form of the equation of the line described. through:(4,-4),... (answered by drj)
Write the point-slope form of the equation of the line described. through: (-5,1),... (answered by stanbon)
Write the slope intercept form of the equation of the line described. through:(-1,4),... (answered by drj)
Write the slope-intercept form of the equation of the line described. 3) Passes... (answered by josgarithmetic,ikleyn)
Write the slope-intercept form of the equation of the line described. through:(-4,2),... (answered by josmiceli)
Write the slope intercept form of the equation of the line described. through:(2,0),... (answered by drj)
Write the point-slope form of the equation of the line described. through: (4,2),... (answered by JBarnum)
Write the point-slope form of the equation of the line described. (answered by Alan3354)