Linear Equations January Review

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 y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What type of line does the equation x = 8 represent?

Back

The equation x = 8 represents a vertical line.

Front

What is the slope of a line that rises 4 units for every 3 units it runs?

Back

The slope is 4/3.

Front

Convert the equation 5x - 2y = 12 to slope-intercept form.

Back

The slope-intercept form is y = 5/2x - 6.

Front

What is the definition of a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls as it moves from left to right.

Front

What is the x-intercept of a line?

Back

The x-intercept is the point where the line crosses the x-axis, represented by the value of x when y = 0.

Front

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

Back

It means that for every 1 unit the line moves to the right, it moves down 3 units.