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Tems11 [23]
3 years ago
7

What is the slope of the line that passes through (2, 12) and (4, 20)?On the graph of the equation 3x + 2y = 18, what is the val

ue of the y-intercept?
Mathematics
1 answer:
Paha777 [63]3 years ago
4 0

Answer: The slope of the line that passes through (2, 12) and (4, 20) is 4.

The value of the y-intercept is 9.

Step-by-step explanation:

Slope of line passing through (a,b) and (c,d) = \dfrac{d-b}{c-a}

Then, the slope of the line that passes through (2, 12) and (4, 20) = \dfrac{20-12}{4-2}

=\dfrac{8}{2}=4

So, the slope of the line that passes through (2, 12) and (4, 20) is 4.

To find the y-intercept of 3x + 2y = 18, first write in slope intercept form y=mx+c ( where c= y-intercept ).

2y=-3x+18\\\\\Rightarrow\ y=-\dfrac{3}{2}x+9

By comparison,  c= 9

Hence, the value of the y-intercept is 9.

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