The slopes, points and equivalent equation are 3, (6, 5), -9, (4, -8), 5 (-2, 0), y -4 = -10(x - 1), y +3 = 2(x - 5) and y + 7 = 1/2(x + 7)
Equation of a line in point-slope form
The equation of a line in a point slope form is expressed as;
y-y1 = m(x-x1)
where
m is the slope
(x1, y1) is any point on the line
Given the equation of a line
y - 6 = 3(x - 5)
The slope will be 3 and the point on the line (6, 5)
The equation of a line
y - 4 = -9(x + 8)
The slope will be -9 and the point on the line (4, -8)
For the equation y - 2 = 5x
y = 5x + 2
Slope = 5 and point is (-2, 0)
For the equation with slope of -10 and point (1, 4), the equation of the line will be;
y -4 = -10(x - 1)
For the equation with slope of 2 and point (5, -3), the equation of the line will be;
y +3 = 2(x - 5)
For the equation with slope of 1/2 and point (-7,-7), the equation of the line will be;
y + 7 = 1/2(x + 7)
Hence the slopes, points and equivalent equation are 3, (6, 5), -9, (4, -8), 5 (-2, 0), y -4 = -10(x - 1), y +3 = 2(x - 5) and y + 7 = 1/2(x + 7)
Learn more on equation of a line here: https://brainly.com/question/13763238
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