Writing in Slope-Intercept Form (m&b and Graph)

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 identify the slope from the equation y = 5x + 2?

Back

The slope is 5.

Front

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

Back

The y-intercept is 3.

Front

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

Back

The slope is -1.

Front

What is the y-intercept of the line represented by the equation y = 1/2x - 6?

Back

The y-intercept is -6.

Front

If the slope of a line is 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

How do you convert the equation y = 2x + 1 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 = -4/5x + 2?

Back

The slope is -4/5.