Question

write the slope-intercept form of the equations of the line described.
1.through (3,-1), parallel to y=3x+4
2.through(-4,-1), parallel to y=-1/2x+3

Answer 1

y = 3x - 10

Answer 2

parallel lines will have the same slope.
y = 3x + 4 -- in y = mx + b form, the slope is in the m position.
the slope here is 3
(3,-1) x = 3 and y = -1

y = mx + b
-1 = 3(3) + b
-1 = 9 + b
-1 - 9 = b
-10 = b
parallel equation is : y = 3x - 10
====================
y = -1/2x + 3
slope = -1/2
(-4,-1) x = -4 and y = -1

y = mx + b
-1 = -1/2(-4) + b
-1 = 2 + b
-1 - 2 = b
-3 = b
parallel equation is : y = -1/2x - 3