Use the image to answer the question.
A graph shows the x and y axes ranging from negative 10 to 10 in unit increments. A line passes through five plotted points. The line passes through the following data points: left parenthesis negative 2 comma negative 3 right parenthesis, left parenthesis negative 1 comma negative 1 right parenthesis, left parenthesis 0 comma 1 right parenthesis, left parenthesis 1 comma 3 right parenthesis, and left parenthesis 2 comma 5 right parenthesis.
Analyze the graph and write a linear function in slope-intercept form.
(1 point)
y=
x+
From the given data points, we can determine the equation of the line by finding the slope and y-intercept.
First, let's find the slope (m) using the formula:
m = (change in y) / (change in x)
Using the points (-2, -3) and (2, 5), we can calculate the slope:
m = (5 - (-3)) / (2 - (-2))
m = 8 / 4
m = 2
Next, we need to find the y-intercept (b) by substituting one of the given points into the equation and solving for b. Let's use the point (0, 1):
1 = 0 + b
b = 1
Therefore, the linear function in slope-intercept form is:
y = 2x + 1