Use the image to answer the question.

Question

An illustration shows a coordinate plane with four quadrants. The x-axis ranges from negative 3 to 3 in one unit increments. The y-axis ranges from negative 3 to 6 in one unit increments. A downward slanting line is graphed on the coordinate plane. The line passes through two plotted points. The points have coordinates at left parenthesis negative 1 comma 4 right parenthesis and left parenthesis 1 comma 0 right parenthesis.

Write the equation of the linear function shown on the graph.

(1 point)

Answer 1

The equation of the linear function shown on the graph can be determined using the two points provided: (-1, 4) and (1, 0).

First, calculate the slope using the formula:
slope = (y2 - y1) / (x2 - x1)
slope = (0 - 4) / (1 - (-1))
slope = -4 / 2
slope = -2

Next, use the slope-intercept form of a linear equation, y = mx + b, where m is the slope:
y = -2x + b

Now, substitute one of the points into the equation to solve for the y-intercept b. Using the point (1, 0):
0 = -2(1) + b
0 = -2 + b
b = 2

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