<h3><u>The equation in slope-intercept form for the line that passes through the point (-8, 3) and is parallel to the line -5x + 4y = 8 is:</u></h3>
<em><u>Solution:</u></em>
Given that,
We have to find the equation in slope-intercept form for the line that passes through the point (-8, 3) and is parallel to the line -5x + 4y = 8
<em><u>The equation of line in slope intercept form is given as:</u></em>
y = mx + c
Where "m" is the slope of line
From given,
-5x + 4y = 8
Rearrange to slope intercept form
4y = 5x + 8
On comparing the above equation with slope intercept form,
We know that, slopes of parallel lines are equal
Therefore, slope of line parallel to the line -5x + 4y = 8 is:
Substitute c = 13 and m = 5/4 in eqn 1
Thus the equation of line in slope intercept form is found