Slope: rise over run, for any straight line. Example: y=mx + b
Constant of proportionality: a constant by which you multiply your independent variable (x) to get a specific value of the dependent variable (y). Example: y=kx.
The main difference here is that y=mx+b may or may not pass through the origin, whereas y=kx always passes through the origin.
Both k and m are "slopes," with k pertaining to direct variation y=kx, and m pertaining to slope of a line which may or may not pass through the origin.
In this limited sense, both k and x are slopes. k could be the slope of a straight line passing thru the origin, same as m, but m could not be the constant of proportionality if the line in question does not pass through the origin.
Answer:
Start at the origin, then graph the point (1, 47) and connect the line.
Step-by-step explanation:
Slope: 47
y-intercept: 0
Answer:
5
Step-by-step explanation:
to find the zeros, set the equation equal to zero
0 = -9x-1
add 1 to each side
1 = -9x
divide by -9
-1/9 =x
Answer B
Answer:
y = -1/2x + 2
Step-by-step explanation:
A perpendicular line will have a opposite reciprocal slope.
Since the line's slope is 2, the perpendicular line will have a slope of -1/2
Plug in the slope and given point into y = mx + b, and solve for b
y = mx + b
3 = -1/2(-2) + b
3 = 1 + b
2 = b
Plug in the slope and b into y = mx + b
y = -1/2x + 2
So, the equation is y = -1/2x + 2
