Question

Find the function that is represented by the graph shown.

Write your answer with no spaces in it.
• Example: -5x+7
swer
Answer
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4
4
19
"
-2 -10
46
N
S

Answer 1

The correct linear equation for the graph is y = 2x - 2.

Writing the equation of a straight line graph.

The graph of a linear equation is a straight line graph. A linear equation takes the form y = mx + b. Here, m is the slope of the graph. The slope shows how steep the graph is. "b" is the y-intercept of the graph.

To write the equation of a straight line graph, we will take two points along the line of the graph to determine the slope.

From the graph, the graph pass two the points (1,0) and (0, -2)

`Slope (m) = (\Delta y )/(\Delta x)`

`Slope (m) = (y_2 - y_1 )/(x_2-x_1)`

`Slope (m) = (-2 - 0)/(0-1)`

`Slope (m) = (-2)/(-1)`

Slope (m) = 2

Therefore, the correct linear equation for the graph is y = 2x - 2.