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laiz [17]
3 years ago
15

What is the equation of a line in slope intercept form that is parallel to y-4=2(x+3) that goes through (-1,2)

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
4 0
Since the equation we're looking for is parallel to another line, we can "steal" the second line's slope and use it in our equation.

Point-slope formula:
y - y1 = m(x - x1)
y - 2 = 2(x-(-1))
y - 2 = 2(x+1)

Solve for y to put into slope intercept form:
y - 2 = 2x + 2
y = 2x + 4
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Write an equation in slope-intercept form for the line that passes through the given point and is perpendicular to the following
Valentin [98]
The perpendicular equation would include a slope that is the opposite reciprocal of the original slope.

Steps:
1. Get x to the other side in the original equation. This making the slope -4 or -4/1.

2. Turn the slope into it’s opposite reciprocal m = 1/4.

3. If you use point-slope form, y - y1 = m( x - x1 ), you can substitute y1 and x1 with the numbers in the point given. But since we previously found the opposite reciprocal, we will replace “m” as well. *By the way, the subtraction of a negative makes a positive. [y + 3 = 1/4( x + 4 )]

4. Solve:
A: Distribute (y + 3 = 1/4x + 1)
B: Subtract 3 from both sides (y = 1/4x -2)

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Answer:

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(In the cases talked about above, we are neglecting negative numbers)

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How do I solve this?
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