Faith earned $565 last week. She earned the same amount each
2 answers:
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Answer:
Step-by-step explanation:
<u>Equation of a line</u>
A line can be represented by an equation of the form
Where x is the independent variable, m is the slope of the line, b is the y-intercept and y is the dependent variable.
We need to find the equation of the line passing through the point (7,2) and is perpendicular to the line y=5x-2.
Two lines with slopes m1 and m2 are perpendicular if:
The given line has a slope m1=5, thus the slope of our required line is:
The equation of the line now can be expressed as:
We need to find the value of b, which can be done by using the point (7,2):
Operating:
Multiplying by 5:
Operating:
Solving for b:
The equation of the line is:
-15x - 3y = 3
-15x - 3(5x-1) = 3 [input y]
-15x - 15x - 3 = 3 [distribute 3 over 5x and -1]
-30x - 3 = 3 [combine like terms]
-30x = 6 [add 3 to eliminate the negative]
x =
[divide by -30 to get x alone]
x =
[reduce the fraction]
Hopefully this is helpful enough to get you to your answer
-15x - 3(5x-1) = 3 [input y]
-15x - 15x - 3 = 3 [distribute 3 over 5x and -1]
-30x - 3 = 3 [combine like terms]
-30x = 6 [add 3 to eliminate the negative]
x =
x =
Hopefully this is helpful enough to get you to your answer