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.
y=
x+
To find the linear function in slope-intercept form, we need to find the slope (m) and the y-intercept (b).
We can use the points (0,1) and (-2,-3) to find the slope.
The slope (m) can be calculated using the formula: m = (y2 - y1) / (x2 - x1)
m = (-3 - 1) / (-2 - 0) = -4 / -2 = 2
Now that we have the slope (m), we can use the point (0,1) and the slope to find the y-intercept (b) using the formula: y = mx + b
1 = 2(0) + b
1 = b
Therefore, the y-intercept (b) is 1.
The linear function in slope-intercept form is y = mx + b.
Substituting the values we found for m and b, we get:
y = 2x + 1