Graphing Linear Equations

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 (m) represent in a linear equation?

Back

The slope (m) 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

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. It represents the value of y when x is 0.

Front

How do you convert a word problem into a linear equation?

Back

Identify the variables, determine the relationship between them, and express that relationship in the form of a linear equation.

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

Given the equation y = 2x + 3, what is the slope?

Back

The slope is 2.

Front

Given the equation y = -1/2x + 4, what is the y-intercept?

Back

The y-intercept is 4.

Front

How do you find the y-intercept from a linear equation in standard form?

Back

To find the y-intercept from standard form (Ax + By = C), set x = 0 and solve for y.

Front

What is the equation that represents Bob's savings after x months if he starts with $150 and saves $40 per month?

Back

y = 40x + 150.

Front

What is the correct equation in Slope-Intercept Form for a line with a slope of -1/3 and a y-intercept of 3?

Back

y = -1/3x + 3.