review for solutions of slope intercept

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 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, indicating the value of y when x = 0.

Front

How do you convert the equation x + y = 4 into slope-intercept form?

Back

To convert, solve for y: y = -x + 4.

Front

What is the graph of the equation y = 2x + 1?

Back

The graph is a straight line with a slope of 2 and a y-intercept of 1.

Front

How do you identify the slope from the equation y = -rac{3}{4}x + 2?

Back

The slope is -rac{3}{4}, indicating the line falls as x increases.

Front

What is the equation of a line with a slope of 1 that passes through the point (0, 3)?

Back

The equation is y = x + 3.

Front

What does it mean if a line is horizontal?

Back

A horizontal line has a slope of 0 and can be represented by the equation y = b, where b is a constant.

Front

What does it mean if a line is vertical?

Back

A vertical line has an undefined slope and can be represented by the equation x = a, where a is a constant.

Front

How do you graph the line y = -rac{2}{3}x + 4?

Back

Start at the y-intercept (0, 4) and use the slope -rac{2}{3} to find another point.