Slope-intercept

Question

Find the slope-intercept equation that's parallel to y = 1/2 x + 4 and 

goes through (0, -4). 

Answer 1

SLOPE-INTERCEPT form of a linear equation:

Y = MX + B

M = Slope of the line; B = Y-intercept (where the line crosses/intersects the Y-axis)

PARALLEL LINES have slopes that are equal/the same.

PERPENDICULAR LINES have slopes that are opposite reciprocals of each other.

Equation of the known line is: y = 1/2x + 4

Slope (M) = 1/2 and Y-intercept (B) = +4 or (0,4)

A line parallel to that line will have the same slope (M), a slope of 1/2. The new line goes through the point (0,-4), which is located ON the y-axis which means that it is the y-intercept for the new line. So, B = -4.

y = mx + b -----> y = 1/2x + (-4) or

y = 1/2x - 4

Answer 2

Not much to do here. You're given all the info you need!

y = mx + b

m is the slope, b is the y-intercept (x = 0 along the y-axis right?), and parallel lines have the same slope.

If the slope is 1/2 and it crosses the y-axis at -4, what do yoooooou think the equation is?