Question

the equation of a line is given below.
-3x + y = 2
find the slope and the y-intercept.
then use them to graph the line.
slope:

y-intercept:

Explanation:

Step1: Convert to slope - intercept form

The slope - intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the $y$-intercept.
We start with the given equation $-3x + y=2$.
To get it in slope - intercept form, we solve for $y$. Add $3x$ to both sides of the equation:
$y=3x + 2$

Step2: Identify slope and y - intercept

In the equation $y = mx + b$, comparing $y = 3x+2$ with $y=mx + b$:

• The coefficient of $x$ is the slope. So, the slope $m = 3$.
• The constant term is the $y$-intercept. So, the $y$-intercept $b = 2$.

Answer:

slope: $3$
$y$-intercept: $2$