Find the equation of the line in slope-intercept form

Question

Find the equation of the line in slope-intercept form that is parallel to the line 5x – 2y = 7 that passes through the point (-10, 4).

Answer 1

5x-2y=7

5x-7=2y

5x/2-7/2 =y

So slope of the given line is m= 5/2

Slope of parallel line is also m =5/2

Equation of the line with slope 5/2 and passing through ( -10,4) is given by

y-4 = 5/2(x+10)

y= 5/2x+25+4

y= 5x/2+29