Question

Write an equation in slope intercept form for the line that passes through (5, -4) and is perpendicular to the line described by 2x-10y=0

Answer 1

solve the equation for y to find slope.
2x - 10y = 0
-10y = -2x
y = 1/5z
perpendicular lines have opposite reciprocal slopes, making it 5.
put it in point slope form.
y - (-4) = 5(x - 5)
solve for y.
y + 4 = 5x - 25
y = 5x - 21