Question 1

WHAT IS THE SLOPE OF Y = 3X - 5?

Accepted Answer

3. In y = mx + b form, m is the slope. Here m = 3.

Question 2

AN EQUATION OF THE FORM Y = MX + B IS A ___ EQUATION.

Accepted Answer

LINEAR. A linear equation graphs as a straight line; its variables have an exponent of 1.

Question 3

WHAT IS THE Y-INTERCEPT OF Y = -4X + 7?

Accepted Answer

7. In y = mx + b form, b is the y-intercept. Here b = 7.

Question 4

THE COEFFICIENT M IN Y = MX + B IS THE ___ OF THE LINE.

Accepted Answer

SLOPE. The slope measures the rate of change: rise over run between any two points on the line.

Question 5

IN Y = MX + B, THE LETTER B REPRESENTS THE Y-___.

Accepted Answer

INTERCEPT. The y-intercept is where the line crosses the y-axis, the value of y when x equals zero.

Question 6

THE FORM AX + BY = C IS CALLED ___ FORM.

Accepted Answer

STANDARD. Standard form writes a linear equation as Ax + By = C with A, B, and C as integers.

Question 7

PARALLEL LINES ALWAYS HAVE:

Accepted Answer

SAME SLOPE. Parallel lines never intersect, which means they share the same slope but different y-intercepts.

Question 8

PERPENDICULAR SLOPES MULTIPLY TO:

Accepted Answer

-1. Two perpendicular lines have slopes that are negative reciprocals, so their product is -1.

Question 9

TWO LINES WITH THE SAME SLOPE BUT DIFFERENT INTERCEPTS ARE ___.

Accepted Answer

PARALLEL. Parallel lines have identical slopes and never cross; their graphs run alongside each other.

Question 10

TWO LINES WITH SLOPES THAT MULTIPLY TO NEGATIVE ONE ARE ___.

Accepted Answer

PERPENDICULAR. Perpendicular lines cross at a right angle; their slopes are negative reciprocals of each other.

Question 11

THE SOLUTION TO A SYSTEM OF TWO LINES IS THEIR POINT OF ___.

Accepted Answer

INTERSECTION. Where the two lines cross is the only point that satisfies both equations of the system.

Question 12

A SYSTEM OF LINES THAT NEVER CROSS HAS NO SOLUTION AND IS ___.

Accepted Answer

INCONSISTENT. An inconsistent system has parallel lines with the same slope but different intercepts, so no solution exists.

LINEAR EQUATIONS AND SYSTEMS

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