Answer:
Explanation:
Slope-intercept form is one of the most common ways to represent a linear function.
Slope-Intercept Form
Slope-intercept form is written as y = mx + b. In this equation, m is the slope. Slope is the change in y over the change in x; also called rise over run. The b represents the y-intercept. The y-intercept is the y-value where the line intersects with the y-axis (vertical axis).
Writing the Equation
To write the equation all we need to do is identify the m and b values and plug them in.
Two of the points on the graph are (-2, 0) and (0, 5). We can count the change between the points to find the slope. Between these points, the y-value increases by 5, and the x-value increases by 2. So, the slope must be 5/2.
By looking at the graph we can tell that the function intersects with the y-axis when y equals 5. Additionally, the y-intersect always occurs when x=0. So, we can find the y-value when x equals 0 and get the same value.
Now, plug these values into the form, y = mx + b. This gives the equation
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