Question

MEDAL AND FAN

Choose the slope-intercept equation of the line that passes through the point (4, -6) and is parallel to y = -1/2x + 5.

y = -2x + 2

y = 2x - 14

y = 1/2x - 8

y = -1/2x - 4

Answer 1

parallel lines have the same slopes, as you can see the slope of the last equation is -1/2, the same of the line y = -1/2 + 5
also, you have the point (4,-6), so in the standard form you have
\[\large{
y-y_1=m(x-x_1) \\
y-(-6)=(-\frac{1}{2})(x-4) \\
y+6=-\frac{1}{2}x+\frac{4}{2} \\
y=-\frac{1}{2}x+2-6 \\
y=-\frac{1}{2}x-4
}\]

Answer 2

Thank you so much !
Can you help me with a couple more ?

Answer 3

sorry, I have to go right now, somebody else will help you