Question 4316
The fact that this line passes through the point (0,-2) means that the y-intercept is -2, so in the formula y=mx+b, the value of b is -2.


Next, find the slope of the given line.  To do this, you must solve for y.


{{{5x + 4y = 3}}}  Add -5x to each side of the equation.

{{{5x - 5x + 4y = -5x + 3}}}  

{{{4y = -5x + 3}}} 


Next divide both sides by 4 to express the given line in slope intercept form.

 {{{4y/4 = -5x/4 + 3/4}}} 

 {{{y = -5x/4 + 3/4}}}  so the slope m of the given line is {{{-5/4}}}

The slope of ANY line parallel to this line is also {{{m = -5/4}}}, so the final answer is 

{{{y = mx + b}}}

{{{y=-5x/4 - 2}}}


R^2 at SCC