Question

Write an equation for the line slope-intercept form

Answer 1

Answer:

The equation in slope-intercept form is:

$y= 2x + 5$

Step-by-step explanation:

-First, look for a two points on a graph:

First point: $(-3,-1)$

Second Point: $(-2,1)$

-Since the line is pointing up, then its telling us that it's positive. So, to start from point $(-3,-1)$ to point $( -2,1)$, you need to count how far distance between those two points by using rise over run:

$m = \frac{rise}{run}$

$m = \frac{2}{1}$

$m = 2$

-After you have found the slope, find the y-intercept.

-The definition for y-intercept, is a line that crosses the y-axis.

y-intercept: $5$

After you found both the slope and the y-intercept, use them for the slope-intercept form:

The slope-intercept form:

$y = mx + b$

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

-The equation in slope-intercept form:

$y= 2x + 5$