Question

What equation represents this linear function ??

Answer 1

y = 50x + 75

Explanation:

A linear equation can be written as:

y = mx + b

where

m = slope

b = y-intercept

x and y = coordinates (x, y)

We know the y-intercept is (0, 75) by looking at the graph, so plug 75 in for b.

y = mx + 75

Then we can find the slope by finding the
`(rise)/(run)`

Choose any two points - we can use (0, 75) and (1, 125)

We can use the equation
`slope = (y_2-y_1)/(x_2-x_1)`

Substitute the points -
`(125-75)/(1-0)`

= 50

Substitute 50 for m

y = 50x + 75