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Ad libitum [116K]
2 years ago
9

Write your answer with no space and any fraction with “/“

Mathematics
1 answer:
nirvana33 [79]2 years ago
4 0

Answer:

y+3=2(x-1)

Step-by-step explanation:

Point-slope form is y-y_1 = m (x-x_1). In order to write a linear equation using this form, the y_1, x_1 and m must be substituted by real numbers.

The m represents the slope of the equation. We know that the answer has to be parallel to the line y=2x-1. y=2x-1 is already in slope-intercept form, or y=mx+b, in which m represents the slope. We can see that the 2 is in place of that m, therefore 2 is the slope of y=2x-1. Lines that are parallel have the same slope, so we know that the slope of the new equation must be 2 as well.

The x_1 and y_1 represent the x and y values of one point that the line passes through. We know that the new equation must pass through the point (1, -3), so we'll substitute 1 in place of the x_1 and -3 in place of the y_1.

Substituting for those three values will give you an equation like this, therefore it is the answer:

y-(-3)= 2(x-(1))

y+3= 2(x-1)

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