Graphing Linear Equations

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 (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What does the y-intercept (b) represent in a linear equation?

Back

The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

How do you find the y-intercept from the equation y = -3x?

Back

The y-intercept is 0, as the equation can be rewritten as y = -3x + 0.

Front

What is the y-intercept of the line y = -x + 1?

Back

The y-intercept is 1.

Front

If the slope of a line is 1/3, what does this indicate about the line's steepness?

Back

A slope of 1/3 indicates a gentle incline; for every 3 units moved horizontally, the line rises 1 unit.

Front

What is the equation of a line with a slope of -1/3 and a y-intercept of 3?

Back

The equation is y = -1/3x + 3.

Front

How do you convert the equation y = 2x + 4 to Slope-Intercept Form?

Back

The equation is already in Slope-Intercept Form: y = mx + b.

Front

What is the slope of the line represented by the equation y = -x?

Back

The slope is -1.

Front

What is the correct equation in Slope-Intercept Form for a line with a slope of 1 and a y-intercept of -1?

Back

The equation is y = x - 1.