Writing Linear Equations: Review

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 linear equation represent?

Back

The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how much y changes for a unit change in x.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0. It represents the starting point of the line on the y-axis.

Front

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

Back

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

Front

What is the equation of a line with a slope of 3 that passes through the point (2, 4)?

Back

The equation is y = 3x - 2.

Front

If a linear equation is written as y = 5x + 2, what is the slope and y-intercept?

Back

The slope is 5 and the y-intercept is 2.

Front

What does it mean if the slope of a line is negative?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship between the two variables.

Front

How can you determine if a point (x, y) lies on the line represented by a linear equation?

Back

Substitute the x value into the equation and see if the resulting y value matches the y value of the point.

Front

What is the significance of the x-intercept in a linear equation?

Back

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

Front

Write the equation of a line that has a slope of -1 and passes through the origin.

Back

The equation is y = -x.