Lesson 4: Graphing Linear Equations in Standard Form — Practice Questions

1. 1. A line passes through the point $(7, 0)$. What does this point represent for the line?

   • A. The x-intercept
   • B. The y-intercept
   • C. The origin
   • D. A point not on an axis

2. 2. A line has a y-intercept at $y = -4$. The x-coordinate of this point must be ___.

3. 3. A straight line has a y-intercept at $y = 8$. What are the coordinates of this point?

   • A. $(8, 0)$
   • B. $(0, 8)$
   • C. $(8, 8)$
   • D. $(0, 0)$

4. 4. A line crosses the x-axis at the point $(-11, 0)$. The y-coordinate of the x-intercept is ___.

5. 5. Which statement is always true for the x-intercept of any non-horizontal line?

   • A. The x-coordinate is zero.
   • B. The y-coordinate is zero.
   • C. Both coordinates are zero.
   • D. The y-coordinate is positive.

6. 6. Is the ordered pair $(3, 1)$ a solution to the linear equation $3x - 2y = 7$?

   • A. Yes, it is a solution.
   • B. No, it is not a solution.

7. 7. The ordered pair $(2, y)$ is a solution to the equation $2x + 5y = 19$. What is the value of $y$? The value is ___.

8. 8. Which of the following linear equations is written in standard form, $Ax + By = C$?

   • A. $y = 7x - 2$
   • B. $3x + 8y = 15$
   • C. $x + y^2 = 9$
   • D. $y = 11$

9. 9. Which equation is the standard form of $y = 6x - 4$?

   • A. $6x + y = -4$
   • B. $6x - y = 4$
   • C. $y - 6x = 4$
   • D. $y + 4 = 6x$

10. 10. If an ordered pair $(x, y)$ is a solution to the equation $4x - 3y = 20$, what is the value of the expression $4x - 3y$? The value is ___.