Solve for x: choose one answer.
x - 8 = 3x - 2
a. -3
b. 1
c. 3
d. -2

×=-3

Step-by-step explanation:

subtract the x from the right side.

-8=2×-2

add two to both sides

-6=2×

divide both sides by two

×=-3

       For us to write the equation for this line, we need to (1) find the slope of the line, and (2) use one of the points to write an equation:  

       The question gives us two points (one of which is the y-intercept), (4.5,-4.25), and (0, 2.5), from which we can find the slope and later the equation of the line.

Finding the Slope    

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)    

                                        =  (2.5 - (- 4.25)) ÷ (0 - 4.5)

                                        =  −1.5

 Finding the Equation

Now that we know the slope and the y-intercept, we can write the equation of the line in the point-slope form (y = mx + b)

                                            y = −1.5x + 2.5

Checking my

I used Desmos to graph the line I got and the points. Since the line passes through the points then the line is correct.