covert standard form to slope-intercept form
4x + 7y + 3 = 0
7y = -4x - 3
y = (-4/7)x - 3/7 so the slope of this line is -4/7
The slope perpendicular to this is - 1 (-4/7) = 7/4
The required line has equation:-
y - 1 = (7/4)(x - (-2))
y - 1 = (7/4)x + 14/4
y = (7/4)x + 18/4 That is the answer in slope intercept form
Multiply through by 4
4y = 7x + 18
7x - 4y = 18 in Standard form Answer
