1st Period Mock Final

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the slope-intercept form of a linear equation (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

Front

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

Back

The slope (m) can be found using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is slope-intercept form?

Back

Slope-intercept form is a way of writing the equation of a line as y = mx + b, where m is the slope and b is the y-intercept.

Front

Convert the equation 5x - 3y = -9 to slope-intercept form.

Back

y = (5/3)x + 3.

Front

What is an inverse function?

Back

An inverse function reverses the effect of the original function. If f(x) takes x to y, then f^-1(y) takes y back to x.

Front

How do you find the inverse of a function?

Back

To find the inverse of a function, swap the x and y in the equation and solve for y.

Front

What does it mean to solve a system of equations by elimination?

Back

Solving by elimination involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.

Front

What is the solution to the system of equations 2x + 9y = -7 and 6x - 3y = 9?

Back

The solution is (1, -1).

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the slope-intercept form.