Slope-intercept form, y equals m x plus b, is the key format for Linear equations and graphs.
Rewriting an equation into that form reveals the slope directly, though fractions or extra constants on either side must be cleared first. Intercepts come from setting x or y to zero; together with the origin they form a right triangle whose area is half the product of the intercepts.
Some questions ask which equation passes through two given points, which can be checked by substituting both points into each choice. Two different lines with the same slope are parallel and never meet, and a horizontal line has slope zero.
Sample questions
Pick an answer to see whether it is right — nothing is saved, and nothing needs an account.
Question 1Mid
The line 3x+2y=18 crosses the x-axis and the y-axis, forming a right triangle with the coordinate axes. What is the area of that triangle?
Show answer
Answer: C — 27
The x-intercept is 6 because 3x=18. The y-intercept is 9 because 2y=18. The triangle’s legs along the axes have lengths 6 and 9, so the area is 21⋅6⋅9=27.
Question 2Easier
Which line contains the two points (−2,−1) and (4,11)?
Show answer
Answer: A — y=2x+3
The slope is (11−(−1))/(4−(−2))=2. Substituting (−2,−1) gives the intercept 3, so the line is y=2x+3.
Question 3Mid
What is the slope of the line 3x−1=2y+4?
Show answer
Answer: C — 6
Subtract 4:3x−5=2y. Multiply by 2:y=6x−10. The slope is 6.
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.
ISEE® and Independent School Entrance Examination® are registered trademarks of the Educational Records Bureau (ERB).
All practice questions and passages are original works created for Study on the fly and are not reproduced from any official test.