ACT · Mathematics

Lines and slope

24 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 24 questions

What is the slope of the line through $(- 1, 1)$ and $(0, - 3)$ ?
What is the slope of the line through $(- 2, - 2)$ and $(2, 10)$ ?
What is the slope of the line through $(- 1, - 2)$ and $(1, 6)$ ?
What is the slope of the line through $(4, 4)$ and $(6, 0)$ ?
What is the slope of the line through $(0, - 6)$ and $(3, 3)$ ?
What is the slope of the line through $(- 3, 3)$ and $(- 1, - 1)$ ?
What is the slope of the line through $(- 3, 4)$ and $(- 1, 8)$ ?
What is the slope of the line through $(- 2, 6)$ and $(2, 14)$ ?
What is the slope of the line through $(- 1, 2)$ and $(3, - 10)$ ?
What is the slope of the line through $(- 3, - 1)$ and $(1, - 9)$ ?
What is the slope of the line through $(3, - 5)$ and $(6, 10)$ ?
What is the slope of the line through $(- 1, - 2)$ and $(2, - 14)$ ?
What is the slope of the line through $(0, 2)$ and $(2, 10)$ ?
What is the slope of the line through $(- 4, - 4)$ and $(- 3, - 1)$ ?
What is the slope of the line through $(- 4, 0)$ and $(0, 12)$ ?
What is the slope of the line through $(0, 2)$ and $(2, - 4)$ ?
What is the slope of the line through $(3, 5)$ and $(6, - 4)$ ?
What is the slope of the line through $(2, - 1)$ and $(4, 7)$ ?
Line $ℓ$ is perpendicular to the line $3 x - 4 y = 12$ and passes through the $y$ -intercept of that line. What is the $x$ -intercept of $ℓ$ ?
The lines $y = 2 x + 1$ and $y = - x + 7$ and the $x$ -axis bound a triangle. What is the area of the triangle?
Points $A (1, 2)$ and $B (5, 8)$ are given. The perpendicular bisector of $\overline{A B}$ crosses the $y$ -axis at which $y$ -value?
A line passes through $(2, - 1)$ and is perpendicular to the line $3 x - 4 y = 8$ . What is the $y$ -intercept of this line?
The lines $y = 2 x + 1$ and $y = - x + 7$ intersect at point $P$ . What is the area of the triangle formed by $P$ and the $x$ -intercepts of the two lines?
Segment $A B$ has endpoints $A (- 2, 3)$ and $B (6, 7)$ . At what $x$ -coordinate does the perpendicular bisector of $\overline{A B}$ cross the $x$ -axis?

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