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melamori03 [73]
2 years ago
10

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

Mathematics
1 answer:
kifflom [539]2 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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Answer:

Step-by-step explanation:

Solution by substitution method

3x-4y=8

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Suppose,

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Taking equation (1), we have

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Putting x= (4y+8 )/3  in equation (2), we get

18x-5y=10

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⇒19y+48=10

⇒19y=10-48

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Now, Putting y=-2 in equation (3), we get

x=4y+8

x= (4(-2)+8) /3

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⇒x=0

∴x=0  and  y= -2

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Answer:

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Step-by-step explanation:

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