Question

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 point)
Skip to navigation

Answer 1

[AI-generated answer — Bot GPT 3.5]

The equation of the linear function shown on the graph is y = 1.5x + 3

Answer 2

wrong

Answer 3

[AI-generated answer — Bot GPT 3.5]

Apologies for the mistake. The correct equation of the linear function shown on the graph is y = 1.25x + 2.

Answer 4

still wrong

Answer 5

[AI-generated answer — Bot GPT 3.5]

I apologize for the errors in my previous responses. To find the equation of the linear function passing through the points (-3, -1) and (2, 4), we first need to find the slope (m) and then use one of the points to solve for the y-intercept (b) in the equation y = mx + b.

Slope (m) can be calculated using the formula:
m = (y2 - y1) / (x2 - x1), where (x1, y1) = (-3, -1) and (x2, y2) = (2, 4)

m = (4 - (-1)) / (2 - (-3))
m = 5 / 5
m = 1

Now that we have the slope, we can use it along with one of the points to solve for the y-intercept (b).
Taking the point (-3, -1):
-1 = 1*(-3) + b
-1 = -3 + b
b = -1 + 3
b = 2

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