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Tresset [83]
3 years ago
7

How do u do this or explain whats going on in the problem​

Mathematics
1 answer:
agasfer [191]3 years ago
6 0

Answer:

its just the congruency rules .

you had to explain them using the rules

Step-by-step explanation:

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Answer:

The slope-intercept form of the line equation  is:

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Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

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  • b is the y-intercept

Given the points

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  • (3, 4)

Determining the slope between (-1, -2) and (3, 4)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

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m=\frac{4-\left(-2\right)}{3-\left(-1\right)}

m=\frac{3}{2}

Thus, the slope of the line is:

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substituting m = 3/2 and the point (3, 4) in the slope-intercept form of the line equation

y = mx+b

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switch sides

\frac{3}{2}\left(3\right)+b=4

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subtract 9/2 from both sides

\frac{9}{2}+b-\frac{9}{2}=4-\frac{9}{2}

b=-\frac{1}{2}

now substituting m = 3/2 and b = -1/2 in the slope-intercept form of the line equation

y = mx+b

y=\:\frac{3}{2}x\:+\:\left(-\frac{1}{2}\right)

y=\:\frac{3}{2}x\:-\frac{1}{2}

Therefore, the slope-intercept form of the line equation  is:

  • y=\:\frac{3}{2}x\:-\frac{1}{2}
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