Given the linear equation , find the y-coordinates of the points (-6, ), (-3, ), and (3, ). Please show all of your work. Plot those points and graph the linear equation.

i really need help with this one please.HEP!!!!

Mary, you forgot to include the Eq; so

i'll use a different Eq. The procedure will be the same.

y = 2x + 2,
(-6,),(-3,),(3,).

y = 2(-6) + 2 = -12 + 2 = 10.

y = 2(-3) + 2 = -6 + 2 = -4.

y = 2*3 + 2 = 6 + 2 =8.

Solution Sets: (-6,10),(-3,-4),(3,8).

To find the y-coordinates of the points (-6, ), (-3, ), and (3, ) on the linear equation, we need to substitute the x-values into the equation and solve for y.

Let's assume the linear equation is in the form y = mx + b, where m is the slope and b is the y-intercept.

Step 1: Find the slope (m)
If the equation is not given, we can find the slope (m) using the formula:
m = (change in y) / (change in x)

To do this, we can select any two points. Let's take (-6, ) and (-3, ).

change in y = y-coordinate of the second point - y-coordinate of the first point
change in x = x-coordinate of the second point - x-coordinate of the first point

For (-6, ) and (-3, ):
change in y = -3 -
change in x = -3 - (-6)

Now we can calculate the slope (m) by substituting these values into the formula:
m = (change in y) / (change in x)

Step 2: Substitute x-values and find y
Now that we have the slope, we can substitute the x-values of the given points into the equation and solve for y.

Let's assume the equation is y = mx + b.

For the point (-6, ):
x = -6
Substituting into the equation: y = m(-6) + b

For the point (-3, ):
x = -3
Substituting into the equation: y = m(-3) + b

For the point (3, ):
x = 3
Substituting into the equation: y = m(3) + b

Step 3: Solve for y
Using the equations we got in Step 2, we can solve for y by substituting the x-values and the slope we found in Step 1.

Once we substitute the values and solve for y, we will have the y-coordinate of each point (-6, ), (-3, ), and (3, ).

Step 4: Plot the points and graph the linear equation
After finding the y-coordinates of the points, we can plot them on a coordinate plane and draw a line to connect them. The line will represent the linear equation.

You can use graphing software or draw a coordinate plane on paper to plot the points and graph the line.