Question 222598
Write the equation in the slope-intercept form and then find the slope m and y-intercept b of the corresponding line.

-8x + 6y - 5 = -7 


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


Step 2.  Solving yields the following steps.


{{{-8x+6y-5=-7}}}


Add 8x+5 to both sides of the equation


{{{-8x+6y-5+8x+5=-7+8x+5}}}


{{{6y=8x-2}}}


Divide 6 to both sides of the equation


{{{6y/6=8x/6-2/6}}}


{{{y=4x/3-1/3}}}


Step 3.  The slope m=4/3 and y-intercept b=-1/3}}}


Below is the graph and note the slope and y-intercept.


{{{graph(400,400, -10,10,-10,10, 4x/3-1/3)}}}


I hope the above steps were helpful.


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Good luck in your studies!


Respectfully,
Dr J