What equation represents this linear function ??
Answer:
y = 50x + 75
Step-by-step 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 [tex]\frac{rise}{run}[/tex]
Choose any two points - we can use (0, 75) and (1, 125)
We can use the equation [tex]slope = \frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute the points - [tex]\frac{125-75}{1-0}[/tex]
= 50
Substitute 50 for m
y = 50x + 75