Check point #3 Slope/Y-intercept/Graphing

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the slope-intercept form of a linear equation, which is defined as the ratio of the rise (change in y) over the run (change in x).

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) can be calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as 'b' in the slope-intercept form of a linear equation, y = mx + b.

Front

How do you find the y-intercept from the equation of a line?

Back

To find the y-intercept from the equation in slope-intercept form (y = mx + b), simply identify the value of 'b'.

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

Convert the equation 3x + 4y = 24 to slope-intercept form.

Back

The slope-intercept form is y = -rac{3}{4}x + 6.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

How do you graph a linear equation using the slope and y-intercept?

Back

Start by plotting the y-intercept on the y-axis. From that point, use the slope to determine the rise over run to plot another point, then draw a line through the points.

Front

What is the slope of the line represented by the equation y = 2x + 5?

Back

The slope of the line is 2.