We can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept.
To find the slope, we can use the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) = (6, 120) and (x2, y2) = (8, 156)
m = (156 - 120) / (8 - 6) = 18
So the slope is 18.
To find the y-intercept, we can use one of the points and the slope. Let's use the point (6, 120).
y = mx + b
120 = 18(6) + b
120 = 108 + b
b = 12
So the y-intercept is 12.
Putting it all together, the equation of the linear function that models the relationship between the number of hours Ezera works and the amount of money she earns is:
y = 18x + 12
Yesterday, Ezera worked for 6 hours and earned $120. Today, he worked 8 hours and earned $156. Write the equation of the linear function that models the relationship between the number of hours Ezera works and the amount of money she earns. Enter your answer in y = mx + b form.
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1 answer