Slope-Intercept Form Matching Graphs and Linear Equation

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

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

How do you find the y-intercept from a linear equation?

Back

The y-intercept is the value of y when x = 0, which can be found by substituting x = 0 into the equation.

Front

What is the y-intercept of the equation y = 4?

Back

The y-intercept is (0, 4).

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates that the line is horizontal.

Front

How do you determine the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

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

Back

The slope is 4.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line is decreasing as it moves from left to right.

Front

What is the equation of a line with a slope of 0 and a y-intercept of -2?

Back

The equation is y = -2.

Front

How can you identify a vertical line?

Back

A vertical line has an undefined slope and can be represented by an equation of the form x = a.