Question

What is the slope-intercept equation of the line below?

Answer 1

Answer:

The slope-intercept form:

$y = -3x +4$

Step-by-step explanation:

-To get the slope-intercept equation, you first need to find the slope by using this equation $m = \frac{rise}{run}$ (starting counting from the first point, to the second point) in order to get the slope. After you have the slope, you need to find the y-intercept ( y-intercept is where the line crosses the y axis of the graph, basically). So, to find that, you need look for the point that only crosses the y axis to get the y-intercept. After you have both the slope and y-intercept, you put it in slope-intercept form:

The two points I found from the following graph are:

$( 1, 1)$ and $(2, -2)$

Trick: Since the line of the graph shows that it is down (not up), Start counting down from point $( 1, 1)$ to point $(2, -2)$. Then, find the y-intercept:

$m = \frac{-3}{1} = -3$

$b = 4$

Use it to create a slope-intercept form:

$y = mx +b$ (where $m$ represents the slope and $b$ represents the y-intercept)

$y = -3x +4$

So, therefore the slope-intercept form is $y = -3x +4$ .