Equations of lines — SSAT Upper practice questions

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Practice 99 Equations of lines questions in the app

What this topic is

Equations of lines questions test whether you can read and build a linear equation in slope-intercept form, y equals m x plus b, where m is the slope and b is the y-intercept.

Parallel lines share the same slope, while perpendicular lines have slopes that are negative reciprocals, so a line with slope two is perpendicular to one with slope negative one-half. Other items give an equation in standard form, ask where the line crosses the axes, or say a point lies on the line; substituting that point's coordinates into the equation finds a missing coefficient.

Wrong choices often keep the correct slope with the wrong intercept, or the reverse.

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 $y = 4 x + 1$ ?

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

✗ Not this one

y = 4 x + 2

✗ Not this one

y = 4 x - 2

✓ Correct

y = - 4 x - 2

✗ Not this one

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

✗ Not this one

Show answer

Answer: C — $y = 4 x - 2$

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 $y = 4 x - 2$ .

Question 2Mid

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

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

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Answer: C — 4

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