Question 1Easier
In the standard coordinate plane, line is perpendicular to a line whose slope is . What is the slope of line ?
Show answer
Answer: A —
Perpendicular lines have slopes that are negative reciprocals, so the slope of line is .
Study on the flyACTMathematicsCoordinate geometry — distance, midpoint, slope, line equations
Mathematics
Coordinate geometry — distance, midpoint, slope, line equations — ACT practice questions
- 66 practice questions in the app
- Free
What this topic is
Slope is rise over run, the change in y divided by the change in x between two points, and it anchors Coordinate geometry — distance, midpoint, slope, line equations.
Parallel lines share a slope, while perpendicular slopes are negative reciprocals, so a line perpendicular to one with slope a/b has slope −b/a. The midpoint averages the coordinates, and the distance formula is the Pythagorean theorem laid on a grid.
ACT items often give intercepts or two points and offer several equations in slope-intercept or standard form. Subtracting coordinates in mismatched order flips the sign of the slope, and answer choices tend to include that reversed value.
Sample questions
Pick an answer to see whether it is right — nothing is saved, and nothing needs an account.
Question 2Easier
In the standard coordinate plane, a line contains the points and . What is the slope of that line?
Show answer
Answer: C — 3
The slope is .
Question 3Easier
A line in the standard coordinate plane crosses the -axis at 4 and the -axis at . Which of the following is an equation of this line?
Show answer
Answer: C —
The line passes through and , giving a slope of . Its equation is therefore .
Every question is picked for where you are right now, wrong answers come back until they stick, and it all works offline.
Practice 66 Coordinate geometry — distance, midpoint, slope, line equations questions in the app
More ACT topics
Mathematics
- Real number system and number properties
- Integer and rational exponents
- Radicals and roots
- Complex numbers
- Vectors and matrices
- Fractions, decimals, and operations
- Percents and percent change
- Ratios, rates, and proportional relationships
- Linear equations and expressions in one variable
- Inequalities (linear and compound)
- Systems of equations
- Polynomial expressions and factoring
- Quadratic equations
- Radical and rational equations
- Exponential relationships
- Function notation and evaluating functions
- Linear functions and graphs
- Quadratic and polynomial functions
- Radical and rational functions
- Piecewise functions
- Exponential and logarithmic functions
- Key features and transformations of graphs
- Lines, angles, and polygons
- Triangles — congruence, similarity, Pythagorean theorem
- Circles — arcs, sectors, angles, equations
- Surface area and volume of solids
- Conic sections
- Right-triangle trigonometry and trig functions
- Measures of center and spread
- Data collection methods and study design
- Bivariate data and relationships (scatterplots, correlation)
- Probability and sample spaces
- Counting, combinations, and permutations
Harder than the exam: ACT Challenge · Competition-style problems
Study on the fly is an independent study tool and is not affiliated with, sponsored by, or endorsed by any testing organization, school, or government body.
ACT® is a registered trademark of ACT Education Corp., which is not affiliated with, and does not endorse, this product.
All practice questions and passages are original works created for Study on the fly and are not reproduced from any official test.