1) The equation of the line with point (-3, 4) and slope 2 is y = 2x + 10.
2) The equation of the line with point (3, -4) and slope 2 is y = 2x - 10.
3) The equation of the line with point (-3, -4) and slope 2 is y = 2x - 10.
Determine the equation of the line with the specified slope that passes through the given point. Match the correct equation with each given point and slope.
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(–3, 4) m = 2
(3, –4) m = 2
(–3, –4) m = 2
2) The equation of the line with point (3, -4) and slope 2 is y = 2x - 10.
3) The equation of the line with point (-3, -4) and slope 2 is y = 2x - 10.
1) The equation of the line with point (-3, 4) and slope 2 is y - 4 = 2(x + 3).
2) The equation of the line with point (3, -4) and slope 2 is y - (-4) = 2(x - 3).
3) The equation of the line with point (-3, -4) and slope 2 is y - (-4) = 2(x + 3).
The point-slope form of a linear equation is given by:
y - y1 = m(x - x1)
Where (x1, y1) represents the given point and m represents the slope.
For the first problem: (–3, 4) with a slope of 2
- We substitute the values into the point-slope form equation:
y - 4 = 2(x - (-3))
For the second problem: (3, –4) with a slope of 2
- We substitute the values into the point-slope form equation:
y - (-4) = 2(x - 3)
For the third problem: (–3, –4) with a slope of 2
- We substitute the values into the point-slope form equation:
y - (-4) = 2(x - (-3))
Once you simplify these equations, you will have the equation of the line for each given point and slope.