Slope Intercept Form Flashcard

Front

Which of the following equations represents a line with a y-intercept of 5? Options: y = 2x + 3, y = -4x + 5, y = 3x - 2, y = -2x + 5

Back

y = -2x + 5

Front

What is the slope of a line passing through the points (2, 4) and (6, 10)? Options: -2, 2, 3, 4

Back

2

Front

Which of the following equations represents a line with a negative y-intercept? Options: y = 2x + 3, y = -4x + 5, y = -2x - 2, y = -3x - 1

Back

y = -3x - 1

Front

What is the slope of a horizontal line? Options: 0, 1, -1, Undefined

Back

0

Front

What is the slope of a vertical line? Options: 0, 1, -1, Undefined

Back

Undefined

Front

Define slope in the context of a linear equation.

Back

Slope is the measure of the steepness of a line, calculated as the change in y divided by the change in x (rise/run).

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

If a line has a slope of 3, what does this indicate about the line's steepness?

Back

A slope of 3 indicates that for every 1 unit increase in x, y increases by 3 units, making the line steep.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

What is the y-intercept of the line represented by the equation y = 4x + 2?

Back

The y-intercept is 2.