Use the image to answer the question.

An illustration shows a coordinate plane with four quadrants. The x-axis ranges from negative 6 to 6 in one unit increments. The y-axis ranges from negative 4 to 6 in one unit increments. An upward slanting line is graphed on the coordinate plane. The line passes through two plotted points. The points have coordinates at left parenthesis negative 3 comma negative 1 right parenthesis and left parenthesis 2 comma 4 right parenthesis.

Write the equation of the linear function shown on the graph. Enter your answer in y=mx+b form.

1 answer

First, we need to find the slope of the line using the coordinates of the two points given:

slope = (y2 - y1) / (x2 - x1)
slope = (4 - (-1)) / (2 - (-3))
slope = (5) / (5)
slope = 1

Now that we have the slope, we can use one of the points given to find the y-intercept (b). Let's use the point (2, 4):

4 = 1(2) + b
4 = 2 + b
b = 2

Therefore, the equation of the linear function shown on the graph is y = x + 2.