Question

here is an equation y = 6x + 2. what form of linear equation is this equation in? circle one standard form or slope - intercept form. what key features of the graph can you determine from this equation? then determine what they are for the equation.
a) slope
m=
b) y - intercept
y=
c) x - intercept
x=

Explanation:

Step1: Identify equation form

The equation $y = 6x+2$ is in slope - intercept form $y=mx + b$, where $m$ is the slope and $b$ is the y - intercept.

Step2: Find the slope

Comparing $y = 6x+2$ with $y=mx + b$, we get $m = 6$.

Step3: Find the y - intercept

Comparing $y = 6x+2$ with $y=mx + b$, when $x = 0$, $y=2$. So the y - intercept is $y = 2$.

Step4: Find the x - intercept

Set $y = 0$ in $y = 6x+2$. Then $0=6x + 2$, so $6x=-2$ and $x=-\frac{1}{3}$.

Answer:

• Form: Slope - intercept form
• a) Slope $m = 6$
• b) Y - intercept $y = 2$
• c) X - intercept $x=-\frac{1}{3}$