Multiple Representations of Slope Intercept Form

Front

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

Back

The slope-intercept form of a linear equation is given by the formula 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 y = mx + b.

Front

What does the y-intercept represent in the slope-intercept form?

Back

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

Front

If a line has a positive slope, what does that indicate about the relationship between x and y?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate about the relationship between x and y?

Back

A negative slope indicates that as x increases, y decreases.

Front

How can you determine if a linear function has a negative slope?

Back

A linear function has a negative slope if the coefficient of x is negative.

Front

What is the significance of the rate of change in a linear function?

Back

The rate of change in a linear function is represented by the slope and indicates how much y changes for a unit change in x.

Front

How do you write an equation for a line given a slope and a y-intercept?

Back

You can write the equation in slope-intercept form: y = mx + b, substituting m for the slope and b for the y-intercept.

Front

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

Back

The equation of the line is y = 3x + 4.

Front

How do you find the value of y when x is given in a linear equation?

Back

Substitute the value of x into the equation and solve for y.