Graphing in Slope-Intercept Form

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 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 is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

How do you identify the slope from the equation y = -2/3x - 2?

Back

The slope is -2/3.

Front

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

Back

The y-intercept is -2.

Front

What is the equation of a line with a slope of 4 and a y-intercept of 3?

Back

The equation is y = 4x + 3.

Front

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

Back

The line rises 1 unit for every 3 units it runs, indicating a gentle slope.

Front

What is the graph of the equation y = -3x + 4?

Back

The graph is a straight line that crosses the y-axis at (0, 4) and has a slope of -3.

Front

How can you convert the equation y = 1/2x + 10 into slope-intercept form?

Back

It is already in slope-intercept form: y = mx + b.

Front

What is the slope of the line represented by the equation y = 2x + 10?

Back

The slope is 2.