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"Fainear function is parallel to the line y = 5x + 2 and also goes through the point (4, 26), then what is the

near equation of this function?"

User Mike LP
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Final answer:

To find the equation of a line parallel to y = 5x + 2 that passes through the point (4, 26), we can use the point-slope form of a linear equation.

Step-by-step explanation:

To find the equation of a line parallel to y = 5x + 2 that passes through the point (4, 26), we need to find the equation of a line with the same slope. The slope of the line y = 5x + 2 is 5. So, the equation of the line parallel to it will also have a slope of 5. We can use the point-slope form of a linear equation to find the y-intercept.

Using the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope:

y - 26 = 5(x - 4)

y - 26 = 5x - 20

y = 5x + 6

Therefore, the equation of the line parallel to y = 5x + 2 that passes through the point (4, 26) is y = 5x + 6.

User Amaters
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