Equations of Linear Functions Quick Check

5 of 55 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 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)
Responses

y=−2x−2
y equals negative 2 x minus 2

y=2x+2
y equals 2 x plus 2

y=2x−2
y equals 2 x minus 2

y=−2x+2
y equals negative 2 x plus 2
Skip to navigation

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
11 months ago

To find the equation of the linear function shown on the graph, we need to determine the slope and y-intercept.

The slope can be found using the formula:

m = (y2 - y1) / (x2 - x1)

Given the two points ( -1,4) and (1,0), we have:

m = (0 - 4) / (1 - (-1))

= -4 / 2

= -2

The y-intercept can be found by substituting one of the points into the equation y = mx + b and solving for b. Let's use the point (-1,4):

4 = -2(-1) + b

4 = 2 + b

b = 4 - 2

b = 2

Therefore, the equation of the linear function shown on the graph is:

y = -2x + 2

So, the correct answer is:

y=−2x+2