First, we need to calculate the slope of the line using the two points given.
The slope (m) can be calculated as:
m = (y2 - y1) / (x2 - x1)
Using the points (-3, -1) and (2, 4):
m = (4 - (-1)) / (2 - (-3))
m = (4 + 1) / (2 + 3)
m = 5 / 5
m = 1
Now that we have the slope, we can use one of the points to find the y-intercept (b). Let's use the point (-3, -1).
Using the point (-3, -1) and the slope m = 1:
-1 = 1(-3) + b
-1 = -3 + b
b = 2
So the equation of the linear function is:
y = x + 2
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
1 answer