2D1 Graphing Linear Equations 3 (Slope-intercept) (ALG A)

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 of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

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

Back

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

Front

Write the equation of a line with a slope of -3 and a y-intercept of 2 in slope-intercept form.

Back

y = -3x + 2.

Front

What is the slope of the line represented by the equation y = 4/3x + 4?

Back

The slope is 4/3.

Front

What is the y-intercept of the line represented by the equation y = -5/4x - 1?

Back

The y-intercept is -1.