Question

Help me determine the slope (rate of change) and the y intercept (initial value) for this one! You can use the formula y = mx + b or m = y2-y1/x2-x1

Answer 1

The equation of the line is y = 7.5x, where the slope is 7.5 and the y-intercept is 0.

What is the slope and y-intercept of the line?

To find the slope (m) and the y-intercept (b), you can use the formula
`m = (y_2 - y_1)/(x_2 - x_1)`.

Given two points on the line: (0, 0) and (4, 30).

`m = (30 - 0)/(4 - 0)`

m = 30/4

Simplify the fraction:

m = 7.5

So, the slope (m) is 7.5.

Now that you have the slope, you can use one of the points and the slope in the equation y = mx + b to find the y-intercept (b). Let's use point (0, 0):

`0 = 7.5 \cdot 0 + b`

0 = b

So, the y-intercept (b) is 0.