Answer:
Equation in slope-intercept form is [tex]\mathbf{y=3x}[/tex]
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: [tex]y=mx+b[/tex]
where m is slope and b is y-intercept.
Finding slope using point (-2,-6) and (0,0)
The formula used is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have [tex]x_1=-2, y_1=-6, x_2=0, y_2=0[/tex]
Putting values and finding slope
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{0-(-6)}{0-(-2)}\\Slope=\frac{6}{2}\\Slope=3[/tex]
Using slope m= 3 and point (-2,-6) we can find y-intercept
[tex]y=mx+b\\-6=3(-2)+b\\-6=-6+b\\b=-6+6\\b=0[/tex]
So, we have y-intercept b =0
Equation in slope-intercept form having slope m= 3 and y-intercept b =0 is:
[tex]y=mx+b\\y=3x+0\\y=3x[/tex]
So, Equation in slope-intercept form is [tex]\mathbf{y=3x}[/tex]
