Question 1

Given the slope $$m = \frac{3}{2}$$ and the point $$(8, -5)$$, what is the equation of the line in the form $$Ax + By = C$$?

Accepted Answer

$$3x - 2y = 34$$

Question 2

Which of the following steps is necessary to convert the point-slope form $$y + 5 = \frac{3}{2}(x - 8) to $$the standard form $$Ax + By = C$$?

Accepted Answer

Multiply both sides by 2 to clear the fraction.

Question 3

If a line has slope $$m = \frac{3}{2}$$ and passes through $$(8, -5)$$, which of the following is the correct point-slope form of the equation?

Accepted Answer

$$y + 5 = \frac{3}{2}(x - 8)$$

Question 4

After converting $$y + 5 = \frac{3}{2}(x - 8) to $$standard form, what is the value of $$A in$$ $$Ax + By = C$$?

Accepted Answer

$$3$$

Question 5

Which of the following lines is parallel to the line with equation $$3x - 2y = 34$$?

Accepted Answer

$$3x - 2y = 10$$

Question 6

If the equation of a line is $$3x - 2y = 34$$, what is the slope of the line?

Accepted Answer

$$\frac{3}{2}$$

Question 7

Which of the following points lies on the line $$3x - 2y = 34$$?

Accepted Answer

$$(8, -5)$$

Question 8

If you are given a slope $$m$$ and a point $$(x_1$, y_1$)$$, which formula should you use to write the equation of the line?

Accepted Answer

$$y - y_1$ = m(x - x_1$)$$

Question 9

What is the $$y-$$intercept of the line $$3x - 2y = 34$$?

Accepted Answer

$$y = -17$$

Question 10

A real-world scenario: A company tracks the number of products sold ($$x) $$and the profit ($$y) $$using the equation $$3x - 2y = 34. If $$the company sold 8 products, what was the profit?

Accepted Answer

$$-5$$

Writing the Equation of a Line Given Slope and a Point

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