Graphing in Slope-Intercept Form

Front

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

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you identify the slope from the equation y = mx + b?

Back

The slope (m) is the coefficient of x in the equation.

Front

What does the y-intercept represent in the equation y = mx + b?

Back

The y-intercept (b) represents the point where the line crosses the y-axis.

Front

If the slope of a line is 2, what does this indicate about the line's steepness?

Back

A slope of 2 indicates that for every 1 unit increase in x, y increases by 2 units, making the line steep.

Front

How can you find the y-intercept from a graph?

Back

The y-intercept can be found by locating the point where the line crosses the y-axis.

Front

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

Back

The slope of the line is -3.

Front

How do you convert the equation y = -2x + 5 into slope-intercept form?

Back

The equation is already in slope-intercept form, where the slope is -2 and the y-intercept is 5.

Front

What is the equation of a line with a slope of 1 and a y-intercept of 4?

Back

The equation of the line is y = x + 4.

Front

If a line has a slope of 0, what does this indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What is the significance of a negative slope in a linear equation?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant of the line.