To find the slope of the line $6x + 3y = 12$, what is the essential first step?

Substitute $x=0$ to find the y-intercept.

Substitute $y=0$ to find the x-intercept.

Divide the entire equation by 6.

Determine Number of Solutions Practice — Grade 8 math

1. What is the slope of the line represented by the equation $4x + 2y = 10$? ___
2. Which equation represents the slope-intercept form of the line given by $y - 5 = 3(x - 2)$?
- A. $y = 3x - 1$
- B. $y = 3x + 1$
- C. $y = 3x - 11$
- D. $y = 3x + 3$
3. A line passes through the points $(3, 5)$ and $(7, 13)$. What is the slope of the line? ___
4. What is the y-intercept of the line with the equation $5x - y = 7$?
- A. 7
- B. -7
- C. 5
- D. -5
5. To find the slope of the line $6x + 3y = 12$, what is the essential first step?
- A. Substitute $x=0$ to find the y-intercept.
- B. Isolate the variable $y$.
- C. Substitute $y=0$ to find the x-intercept.
- D. Divide the entire equation by 6.
6. At what x-value do the lines $y = 3x + 1$ and $y = x + 5$ intersect? The x-value is ___.
7. The lines $y = 4x - 2$ and $y = 2x + 8$ intersect at a point $(x, y)$. What is the y-coordinate of this point? ___
8. What is the intersection point of the lines $y = -2x + 10$ and $y = 3x - 5$?
- A. (3, 4)
- B. (-3, 16)
- C. (1, 8)
- D. (4, 3)
9. To find the intersection of $y = 5x - 4$ and $y = 2x + 11$ algebraically, what is the correct first step?
- A. $5x - 4 = 2x + 11$
- B. $5x - 4 + 2x + 11 = 0$
- C. $(5x - 4) \div (2x + 11) = 1$
- D. $5x + 2x = -4 + 11$
10. The lines $y = -x - 2$ and $y = 4x + 13$ intersect at the point $(x, y)$. What is the value of x? ___