Graph 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 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

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented by the value of b in the slope-intercept form y = mx + b.

Front

How do you find the slope from two points?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

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

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

y = -5x - 5.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line goes down from left to right.

Front

What is the slope of the line represented by the equation y = -3x + 1?

Back

The slope of the line is -3.

Front

How can you identify the y-intercept from the equation y = -3x + 7?

Back

The y-intercept is the constant term in the equation, which is 7.

Front

What is the graph of the equation y = -x + 2?

Back

The graph is a straight line that crosses the y-axis at (0, 2) and has a slope of -1.