Slope-Intercept Form: Graphs

Front

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

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope (m) represent in the slope-intercept form?

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 the slope-intercept form?

Back

The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x = 0.

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

If the slope of a line is 2, what does this mean?

Back

A slope of 2 means that for every 1 unit increase in x, y increases by 2 units.

Front

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

Back

The y-intercept is 4, which means the line crosses the y-axis at the point (0, 4).

Front

How do you graph the equation y = -rac{1}{2}x + 3?

Back

Start at the y-intercept (0, 3) and use the slope -rac{1}{2} to find another point: down 1 unit and right 2 units.

Front

What is the slope of the line represented by the equation y = -3x + 5?

Back

The slope is -3, indicating the line falls as it moves from left to right.

Front

Write the slope-intercept equation of a line with a slope of 4 and a y-intercept of -2.

Back

The equation is y = 4x - 2.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, meaning there is no change in y as x changes.