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melamori03 [73]
3 years ago
10

Please help! Write the slope-intercept form of the equation for the line.

Mathematics
1 answer:
kifflom [539]3 years ago
8 0

Answer:

C

Step-by-step explanation:

The slope intercept of a line is y=mx +b where

  • m is the slope which is calculated as the vertical distance divided by the horizontal distance between two points.
  • b is the y-intercept for value on the y-axis for which the line crosses it.

This graph crosses the y-axis (the vertical line) halfway between -1 and -2. This  is -3/2. This means only answers a, c, and d are options.

The graph moves up from -3/2 to its next point at (-4,0). We calculate the slope using:

Slope:m=\frac{y_2-y_1}{x_2-x_1}

We substitute x_1=0\\y_1=-1.5 and x_2=-4\\y_2=2

m=\frac{2-(-1.5)}{-4-0}

m=\frac{2+1.5}{-4}=\frac{3.5}{-4} =-0.875

This decimal is equivalent to -7/8. This means C is the answer.



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