Question

If the slope of a line is 4/5, does the line rise (from left to right), fall (from left to right), horizontal or vertical?

Answer 1

slope: 4/5 is a positive slope

• positive slopes rises from left to right

• positive slopes falls from right to left

• neither horizontal or vertical.

The picture below shows some examples of equation with positive slope.

Answer 2

Answer:

rise from left to right

Step-by-step explanation:

Linear equation: $y=mx+b$

(where $m$ is the slope and $b$ is the y-intercept)

Positive slope: rise from left to right

$m$ is a positive number

$\textsf{e.g.}\:y=\dfrac45x+4$

Negative slope: fall from left to right

$m$ is a negative number

$\textsf{e.g.}\:y=-\dfrac45x+4$

Zero slope: horizontal line

$m=0$

$\textsf{e.g.}\:y=0x+\dfrac45\implies y=\dfrac45$

Therefore, a horizontal line is $y = a$ (where $a$ is some constant)

Infinite slope: vertical line

$m= \infty$

$\sf slope\: (m)=\dfrac{change\:in\:y}{change\:in\:x}$

There is no change in x-values for a vertical line, so:

$\sf \implies slope=\dfrac{change\:in\:y}{0}=\infty$

We also usually call the slope of this line undefined.

Therefore, a vertical line is $x = a$ (where $a$ is some constant)

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Attached graph:

Positive slope: black line

Negative slope: blue line

Zero slope: green line

Infinite slope: red line