Writing Equations in Slope Intercept Form, From a 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, represented as (0, b).

Front

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

Back

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

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If a line has a slope of 2/3, what does this mean?

Back

It means that for every 3 units moved horizontally to the right, the line moves up 2 units.

Front

How do you convert the equation y = 2x + 3 to slope-intercept form?

Back

The equation is already in slope-intercept form: y = mx + b, where m = 2 and b = 3.

Front

What is the x-intercept of a line?

Back

The x-intercept is the point where the line crosses the x-axis, represented as (x, 0).

Front

How do you find the x-intercept from a linear equation?

Back

To find the x-intercept, set y = 0 and solve for x.