Question

Given the table, write the equation in the slope-intercept form

Answer 1

Answr: y= 2x + 6

Explanation: when x is 0, y is 6, so this is the y intercept. from 0 to 6 is +6, from -3 to 0 is +3. 6/3 is 2.

Answer 2

y=2x+6

Explanation:

Slope intercept form is:

y=mx+b

m: slope

b: y-intercept

We can start by solving for the slope. The equation for slope is:

`Slope=(y_2-y_1)/(x_2-x_1)`

Plug in any two x, y pairs from the table into the equation. Let's use (-3, 0) and (0, 6):

`Slope=(6-0)/(0-(-3))=(6)/(0+3)=(6)/(3)=2`

y=2x+b

Now, we can plug in a x, y pair from the table in for x and y to solve for the y-intercept. Let's use (0, 6):

y=2x+b

6=2(0)+b

6=0+b

b=6

Therefore the equation is:

y=2x+6