Linear equations and inequalities (two variables)

High School Math 1 · Unit 5 · linear-forms-half-planes

linear-forms-half-planes

Name ______________________________Date ______________

1.
What is the slope of the line $3x + 4y = 12$ ?
Answer: ______________
2.
Write the equation of the line through $(2, -1)$ that is perpendicular to $y = 2x + 4$ . Give it in slope-intercept form, as an equation beginning with $y =$ .
Answer: ______________
3.
A line passes through $(1, 5)$ and $(4, -4)$ . What is its $y$ -intercept?
Answer: ______________
4.
The inequality $y < 2x - 3$ is graphed with a dashed boundary line and one half-plane shaded. Which point lies in the shaded region?
1. (A)
  $(0, 0)$
2. (B)
  $(1, 2)$
3. (C)
  $(2, 1)$
4. (D)
  $(3, 1)$
5.
A line is parallel to $4x - 3y = 9$ and passes through $(6, 1)$ . What is the $y$ -intercept of this line?
Answer: ______________