Question

Here's a graph of a linear function. Write the equation that describes that function. (If blurry zoom in.)

Answer 1

Answer:

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis

change in the value of y = y2 - y1

Change in value of x = x2 - x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

From the graph,

y2 = 3

y1 = - 1

x2 = 1

x1 = 0

Slope,m = (3 - - 1)/(1 - 0) = 4/2 = 2

To determine the intercept, we would substitute x = 1, y = 3 and

m = 2 into

y = mx + c. It becomes

3 = 2 × 1 + c

3 = 2 + c

c = 3 - 2 = 1

The equation becomes

y = 2x + 1