gregorylm2007
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Quick! Please Help Me ASAP!
Marissa's dance studio charges a monthly fee, plus a fixed amount per class. The line shows the cost y, for x taken. Write an equation for the line in slope-intercept form. Show your work.

Quick Please Help Me ASAP Marissas dance studio charges a monthly fee plus a fixed amount per class The line shows the cost y for x taken Write an equation for class=

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Answer:

Step-by-step explanation: The slope is 10 because when x moved positive 2, y moved positive 20 so y = 10x + b and you can just pick one point that the line crosses so I will use (2, 40) so when you put that in the equation it is 40 = 20 + b so b is 20. The answer is y = 10x + 20

raphealnwobi

A linear equation is given by:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept.

Let y represent the total monthly charges for x amount of class.

From the graph, the line passes through point (0,20) and (2, 40). Hence, the equation of the line is:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-20=\frac{40-20}{2-0} (x-0)\\\\y-20=2x\\\\y=2x+20[/tex]

Hence the equation for the line in slope-intercept form is y = 2x + 20

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