Equations of lines — SSAT Upper practice questions

50 questions on the paper
99 practice questions in the app
Free

Practice 99 Equations of lines questions in the app

What this topic is

Equations of lines on the SSAT Upper Quantitative (Math) section means writing and reading linear equations in slope-intercept or standard form.

A student has to produce the equation of a line through a given point that is parallel to another line, find intercepts and the midpoint of the segment they form, and plug a point into an equation to find a missing coefficient. Items typically ask which equation fits a description or ask for a single value such as a coefficient or a sum of coordinates.

Choices look like similar linear equations or close integers, with traps that use the wrong slope, swap intercepts, or mishandle a negative intercept.

Sample questions

Pick an answer to see whether it is right — nothing is saved, and nothing needs an account.

Question 1Easier

Which of the following equations represents the line through $(0, -2)$ that is parallel to $y = 4x + 1$ ?

y = \dfrac{1}{4}x - 2

✗ Not this one

y = 4x + 2

✗ Not this one

y = 4x - 2

✓ Correct

y = -4x - 2

✗ Not this one

y = -\dfrac{1}{4}x - 2

✗ Not this one

Show answer

Answer: C — $y = 4x - 2$

Parallel lines have the same slope, so the new line has slope 4. Since it passes through $(0,-2)$ , its $y$ -intercept is $-2$ , giving $y=4x-2$ .

Question 2Mid

The line $4x+3y=24$ meets the coordinate axes at points $A$ and $B$ . What is the sum of the coordinates of the midpoint of $\overline{AB}$ ?

Show answer

Answer: B — 7

The intercepts are $A=(6,0)$ and $B=(0,8)$ . Their midpoint is $(3,4)$ , and the sum of its coordinates is $3+4=7$ .

Question 3Easier

The graph of $ax + 3y = 18$ contains the point $(6, -2)$ . What is the value of $a$ ?

Show answer

Answer: C — 4

Substituting $(6,-2)$ gives $6a+3(-2)=18$ . Thus $6a=24$ , so $a=4$ .

Every question is picked for where you are right now, wrong answers come back until they stick, and it all works offline.

Practice 99 Equations of lines questions in the app

Equations of lines — SSAT Upper practice questions

What this topic is

Sample questions

More SSAT Upper topics

Quantitative (Math)