A line has a y-intercept at (0, 4) and an x- intercept at (6, 0). What is the slope of the line?

A) -2/3

B) 3/2

C) -3/2

D) 2/3

(P.S There is no graph for this question)

Respuesta :

3/2 is the answer
i say this because you have to think of the problem as 

4y=6x

divide the 4

y=6x/4

simplify
3/2

The slope of a line is the rate of change of the y values by the x values.

The slope of the given line is -2/3

Given that:

[tex](x_1,y_1) = (0,4)[/tex]

[tex](x_2,y_2) = (6,0)[/tex]

The slope (m) of the line is calculated using:

[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

So, we have:

[tex]m = \frac{0 -4}{6 -0}[/tex]

[tex]m = \frac{-4}{6}[/tex]

Simplify

[tex]m = -\frac{2}{3}[/tex]

Hence, the slope of the line is (a) -2/3

Read more about slope of lines at:

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