Question

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

Answer 1

Answer:

y=2x+6

Step-by-step 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:

$Slope=\frac{y_2-y_1}{x_2-x_1}$

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

$Slope=\frac{6-0}{0-(-3)}=\frac{6}{0+3}=\frac{6}{3}=2$

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

Answer 2

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.