Graphing Slope Intercept Form

Front

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

Back

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

Front

What does the slope (m) represent in the slope-intercept form?

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 the slope-intercept form?

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 identify the slope from the equation y = -2x + 3?

Back

The slope is -2, which means for every 1 unit increase in x, y decreases by 2 units.

Front

How do you identify the y-intercept from the equation y = -2x + 3?

Back

The y-intercept is 3, meaning the line crosses the y-axis at the point (0, 3).

Front

What is the slope of the line represented by the equation y = 4/5x + 4?

Back

The slope is 4/5, indicating a rise of 4 units for every 5 units run.

Front

What is the equation of a line with a slope of 3 that passes through the origin?

Back

The equation is y = 3x.

Front

How do you convert the equation y = -3x + 4 into slope-intercept form?

Back

The equation is already in slope-intercept form, where the slope is -3 and the y-intercept is 4.

Front

What is the slope of the line represented by the equation y = -2/3x - 2?

Back

The slope is -2/3, indicating a decrease in y as x increases.

Front

How do you find the equation of a line given a slope of 2 and a y-intercept of -1?

Back

The equation is y = 2x - 1.