Question

Write the equation of the line in slope-intercept form.

Answer 1

Answer:

y = 1/40x + 20

Step-by-step explanation:

Slope-intercept equation format:

y = mx + b

m = slope/ gradient/ constant of variation/ rate of change

b = y-intercept

To find the slope, use the formula:

$\frac{y_2-y_1}{x_2-x_1}$

Find  two random points:

1 - (0.5, 40) , 2 - (1, 60)

Plug in:

$\frac{60-40}{1-0.5}$

Solve:

$\frac{20}{0.5}$

Divide:

$\frac{1}{40}$

The y-intercept is when the x-coordinate is equal to 0.

The y-intercept is always the beginning.

So observing the graph, the first point is (0, 20)

The x-coordinate is 0.

Y intercept = 20.

Plug in both slope and y-intercept:

y = 1/40x + 20