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zhannawk [14.2K]
3 years ago
15

Where are the continental divide and the fall line located in the United States

Geography
1 answer:
choli [55]3 years ago
3 0
Hey this is not that hard you got it
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On a coordinate plane, a line goes through (negative 3, negative 3) and (negative 1, 5). What is the equation of the line parall
DENIUS [597]

Answer:

y=4x-16

Explanation:

The general form of the equation of a line is: y=mx+x, where m is the gradient and c is the y-intercept.

Given points  (-3,-3) and (-1,5)

We are to find the equation of the line parallel to the given line with an x-intercept of 4.

First, we determine the value of the gradient of the line.

Gradient,

m=\frac{y_2-y_1}{x_2-x_1} \\=\frac{5-(-3)}{-1-(-3)} \\=\frac{5+3}{-1+3}\\=\frac{8}{2}\\m=4

Two lines are parallel if their gradients m_1 \: and \: m_2 are equal.

The gradient of the line parallel to the given line m_2=4

Since the x-intercept of the new line is 4, a point on the new line, (x_1,y_1)=(4,0)

Substituting (x_1,y_1)=(4,0) into the equation of a line: , y-y_1=m(x-x_1),we have:

y-0=4(x-4)\\$Therefore:\\y=4x-16

Therefore, the equation of the line is: y=4x-16



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