Question

Write an equation in

Answer 1

Answer:

Equation in slope-intercept form is $\mathbf{y=3x}$

Step-by-step explanation:

We need to write equation  in  slope-intercept form to  represent the relationship  shown in the table.

The general equation of slope-intercept form is: $y=mx+b$

where m is slope and b is y-intercept.

Finding slope using point (-2,-6) and (0,0)

The formula used is: $Slope=\frac{y_2-y_1}{x_2-x_1}$

We have $x_1=-2, y_1=-6, x_2=0, y_2=0$

Putting values and finding slope

$Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{0-(-6)}{0-(-2)}\\Slope=\frac{6}{2}\\Slope=3$

Using slope m= 3 and point (-2,-6) we can find y-intercept

$y=mx+b\\-6=3(-2)+b\\-6=-6+b\\b=-6+6\\b=0$

So, we have y-intercept b =0

Equation in slope-intercept form having slope m= 3 and y-intercept b =0 is:

$y=mx+b\\y=3x+0\\y=3x$

So, Equation in slope-intercept form is $\mathbf{y=3x}$