SOLUTION: What is the equation of the line through each point and with the given slope? Use y=mx+b. Point B (-2,5) is parallel to the line with equation 2x-3y=8. Please help me solve this

Algebra ->  Linear-equations -> SOLUTION: What is the equation of the line through each point and with the given slope? Use y=mx+b. Point B (-2,5) is parallel to the line with equation 2x-3y=8. Please help me solve this      Log On


   



Question 383815: What is the equation of the line through each point and with the given slope?
Use y=mx+b.
Point B (-2,5) is parallel to the line with equation 2x-3y=8.
Please help me solve this, I don't understand it.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!

First, solve the given equation for in terms of everything else to put the given equation into slope-intercept form, namely .

Next, using the slope determined in the first step and the coordinates of the given point, insert values into the point-slope form of an equation of a line:



where are the coordinates of the given point and is the calculated slope.

Finally, solve the derived equation for in terms of everything else in order to arrange your answer into slope-intercept form.

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism