The equation, in point-slope form, of the line that is parallel to the given line and passes through the point is y - 1 = 3/2(x+3)
<h3>Equation of a line</h3>
A line is the distance between two points. The equation of a line in point-slope form is expressed as:
y - y0 = m(x-x0)
Given the coordinates (-2, -4) and (2, 2) on the line, the slope is expressed as:
Slope = 2-(-4)/2-(-2)
Slope = (6)/4
Slope = 3/2
Find the equation of the line
y -(1) = 3/2(x-(-3))
y - 1 = 3/2(x+3)
Hence the equation, in point-slope form, of the line that is parallel to the given line and passes through the point is y - 1 = 3/2(x+3)
Learn more on equation of the line here: brainly.com/question/18831322
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9514 1404 393
Answer:
- y -3 = 5(x -1)
- y +1 = -3(x +2)
- y +7 = -1/4(x -4)
Step-by-step explanation:
When you are given a point and a slope, and asked for the equation in point-slope form, it is simply a matter of putting the given numbers into the appropriate places in the equation template.
y -k = m(x -h) . . . . . . point (h, k), slope m
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1. y -3 = 5(x -1) . . . . . . point (1, 3), slope 5
2. y +1 = -3(x +2) . . . . point (-2, -1), slope -3
note that for k=-1, -k = -(-1) = +1; similarly the value of -h becomes +2
3. y +7 = -1/4(x -4) . . . point (4, -7), slope -1/4
9514 1404 393
Answer:
b. 362,880
Step-by-step explanation:
There are 9 ways to choose the first batter, 8 ways to choose the second, and so on. There are a total of 9·8·7·6·...·2·1 = 9! = 362,880 ways to arrange the batting order.
Here’s a step by step answer
