Retrieval Linear Relations 2

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, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (positive or negative).

Front

How do you solve for a variable in an equation?

Back

To solve for a variable, isolate the variable on one side of the equation using inverse operations (addition, subtraction, multiplication, division).

Front

What is scientific notation?

Back

Scientific notation is a way of expressing numbers that are too large or too small in a compact form, using powers of ten. For example, 12,000,000 can be written as 1.2 x 10^7.

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

How do you convert from standard form to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y in terms of x.

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

What does it mean for a system of equations to be consistent?

Back

A consistent system of equations has at least one solution, meaning the lines intersect at one or more points.

Front

What is the y-intercept of a line?

Back

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

Front

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

Back

To find the x-intercept, set y = 0 in the equation of the line and solve for x.