ACP MIX

Front

What is the definition of slope in a linear equation?

Back

The slope of a line is a measure of its steepness, calculated as the change in y (rise) over the change in x (run). It is often represented as m in the equation of a line, y = mx + b.

Front

How do you find the x-intercept of a line?

Back

The x-intercept of a line is found by setting y = 0 in the equation of the line and solving for x.

Front

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

Back

The y-intercept of a line is found by setting x = 0 in the equation of the line and solving for y.

Front

What does it mean if a line has an undefined slope?

Back

A line has an undefined slope if it is vertical, meaning it goes straight up and down. This occurs when the x-coordinates of any two points on the line are the same.

Front

What does it mean if a line has a zero slope?

Back

A line has a zero slope if it is horizontal, meaning it goes straight left and right. This occurs when the y-coordinates of any two points on the line are the same.

Front

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

Back

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

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

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

Back

The point-slope form of a linear equation is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

How do you solve a system of equations graphically?

Back

To solve a system of equations graphically, plot each equation on the same graph and identify the point(s) where the lines intersect.