SOLUTION: how do i find the equation for 3/4(6,-1)

Question 223752: how do i find the equation for 3/4(6,-1)
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
how do i find the equation for 3/4 (6,-1)

Here, I assume you meant the slope is passing through the point (6,-1)

Write an equation for the line described as slope and passes through (6,-1). Write equation in slope-intercept form.

Step 1. The slope-intercept form is given as y=mx+b where m is the slope and b is the y-intercept b at x=0 or point (0,b). Here, the slope m=3/4.

Step 2. The slope m is given as

Step 3. Let (x1,y1)=(6,-1) or x1=6 and y1=-1. Let other point be (x2,y2)=(x,y) or x2=x and y2=y.

Step 4. Now we're given . Substituting above values and variables in the slope equation m yields the following steps:

Step 5. Multiply (x-6) to both sides to get rid of denominators on both sides of equation.

Step 6. Now add -1 to both sides of equation to solve for y.

Step 7. ANSWER: The equation is

Here's a graph below and note the slope and y-intercept at x=0 or point (0,-7) and the x-intercept at y=0 or at point (51/3, 0)and note it is consistent with the equation when substituting these

Note: the above equation can be rewritten in standard form as

I hope the above steps 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.

Good luck in your studies!

Respectfully,
Dr J

RELATED QUESTIONS
How do i find the conic equation for... (answered by lwsshak3)

How do I find the slope for this equation?... (answered by josmiceli)

How do i find the ordered pairs for x-6=0 with y =1, 4,... (answered by Edwin McCravy)

1/2xsquared-4+5=0 How do I find the Zeros/x-intercepts for this... (answered by solver91311)

How do I find the standard form of the equation of the line with slope -1/4 passing... (answered by Alan3354)

How do I write an equation for the ellipse with vertices, (-2,0) (-2,-6) (-4,-3)... (answered by lwsshak3)

how do i find the average of 5/6 4/3 3/4 and how do i... (answered by stanbon)

How do I find all the values of w satisfying the equation? 6-5/w+2=-4/w-1 (answered by checkley71)

how do I find the equation of the point (2,-3) with the given slope as... (answered by tommyt3rd)