Question

Here’s a graph of linear function. Write the equation that describes that functions.

Answer 1

y=2/3x+5

Explanation:

Slope intercept form is y=ax+b where a is slope and b is the y-intercept. When looking at the graph, we see that the point where the line intercepts the y-axis is (0,5), meaning the y-intercept is 5. As for the slope, we can do rise over run to see that from (0,5) to another point on the line, (3,7), the line rises 2 units and runs 3 units, making the slope 2/3. Finally, you just plug that in to y=ax+b where a=2/3 and b=5