write the slope-intercept equation for the line that passes through(-14,-3) and is perpendicular to -7x-4y=-4

slope of -7x - 4y = -4 is -7/4

so the slope of the new line is 4/7

y+3 = (4/7)(x+14)
7y + 21 = 4x + 56
7y = 4x + 35
y = (4/7)x + 5