Question

Select the equation of a line with a slope of 5 that passes through the point (2, –3).

Multiple choice question.
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A)
y=5x – 13

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B)
y=5x – 3

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C)
y=5x+7

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D)
y=5x+2

Answer 1

The equation of the line with a slope of 5 that passes through the point (2, -3) is y = 5x - 13.

Step-by-step explanation:

To find the equation of a line with a given slope and a given point, we can use the point-slope form of a linear equation: y - y1 = m(x - x1). In this case, the slope is 5 and the point is (2, -3). Plugging these values into the equation, we get y - (-3) = 5(x - 2). Simplifying gives us y + 3 = 5x - 10, which can be rearranged to the standard form of a linear equation: y = 5x - 13. Therefore, the correct equation from the multiple-choice options is A) y = 5x - 13.

Answer 2

Answer: A) y = 5x – 13

Step-by-step explanation:

The equation is y=mx + b

We know the slope is 5 and the y-intercept is at ( 0, -13)

So our equation is y = 5x - 13

So, the answer is A