Question
Equations of Linear Functions Practice
Complete this assessment to review what you’ve learned. It will not count toward your grade.
4 of 54 of 5 Items
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)
Answers
GPT 3.5
To find the equation of the linear function, we first need to find the slope (m) using the two points (-3, -1) and (2, 4).
m = (4 - (-1)) / (2 - (-3)) = 5 / 5 = 1
Now that we have the slope, we can choose either point to plug into the point-slope formula to solve for b:
y - y1 = m(x - x1)
4 - 4 = 1(2 - 2)
0 = 0
Therefore, the equation of the linear function is:
y = x + 4
m = (4 - (-1)) / (2 - (-3)) = 5 / 5 = 1
Now that we have the slope, we can choose either point to plug into the point-slope formula to solve for b:
y - y1 = m(x - x1)
4 - 4 = 1(2 - 2)
0 = 0
Therefore, the equation of the linear function is:
y = x + 4