Question

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 value of the y-intercept?

Answer 1

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.