Question

Please answer this due in 30 mins giving brainlist out

Answer 1

Answer:

2/-2

Step-by-step explanation:

X-axis is first and Y-axis

Answer 2

Answer:

Slope: $m=-\frac{1}{2}$

y-intercept: $(0,-1)$

Equation: $y=-\frac{1}{2}x-1$

Step-by-step explanation:

Slope-intercept form of an equation is written as $y=mx+b$, where $m$ is the slope and $b$ is the y-intercept.

The slope of a line that passes through the points $(x_1,\: y_1)$ and $(x_2, \: y_2)$ is $m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}$. Using the coordinates $(-2, 0)$ and $(2,-2)$ as given in the problem, we have slope of this line to be:

$m=\frac{-2-0}{2-(-2)}=\frac{-2}{4}=-\frac{1}{2}$.

Now using this slope we've found and any point the line passes through, we can find the y-intercept of this equation:

$0=-\frac{1}{2}(-2)+b, \\ b=-1$

Therefore, the equation of this line in slope-intercept form is $\fbox{ y=-\frac{1}{2}x-1 }$.

The y-intercept occurs when $x=0$:

$y=-\frac{1}{2}(0)-1, \\\\y=1$

Thus, the y-intercept is

$(0, -1)$