Slope-intercept form:
y = mx + b
"m" is the slope, "b" is the y-intercept (the y value when x = 0, or (0,y))
For lines to be parallel, their slopes have to be the SAME.
The given line's slope is 4, so the parallel line's slope is also 4.
y = 4x + b
To find "b", plug in the point (-3,5) into the equation.
y = 4x + b
5 = 4(-3) + b
5 = -12 + b Add 12 on both sides
17 = b
y = 4x + 17
First you get "y" by itself. To do so you divide 2 on both sides.
y = 3/2x + 5
To write an equation of a line that is PARALLEL to this equation, the slopes have to be the SAME. So the slope is 3/2.
You then use the equation:
y = mx + b
SInce you know "m" you plug it in.
y = 3/2x + b
Now you need to find b. To do so you plug in the point (2, -5) into this equation.
-5 = 3/2(2) + b
-5 = 3 + b
-8 = b
Finally you plug in b and you get your new equation.
y = 3/2x - 8
Answer: C
Step-by-step explanation:









Answer:
The y intercept is -2
Step-by-step explanation:
The -2 at the end of the equation is that y intercept