aicstrain22
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  • 20-10-2021
  • Mathematics
contestada

Write the equation of the line that passes through the given points. (-1. -1.5) and (0, – 3.5)
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  • 20-10-2021
Answer (in slope-intercept form): y = -2x - 3.5

Solving:
Slope can be found using the change in y over the change in x, or the “rise over run”.
-3.5 - -1.5 = -3.5 + 1.5 = -2
0 - -1 = 0 + 1 = 1
Slope (m) = -2/1 or -2

Since the second point’s x-coordinate is zero, that means its y-coordinate is the y-intercept.
Y-intercept (b) = -3.5

Slope-intercept equation: y = mx + b
So: y = -2x - 3.5
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