Linear Equations Two Variables

Front

What is a linear equation in two variables?

Back

A linear equation in two variables is an equation that can be written in the form ax + by = c, where a, b, and c are constants, and x and y are variables.

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 find the slope from the equation y = mx + b?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, which occurs when x = 0. It is represented by 'b' in the equation y = mx + b.

Front

How can you convert the standard form of a linear equation to slope-intercept form?

Back

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

Front

What is the slope of the line represented by the equation 2x + 3y = 6?

Back

The slope is -2/3.

Front

What is the y-intercept of the equation y = 5x + 1?

Back

The y-intercept is 1.

Front

Write the linear equation for the following scenario: 'A phone plan costs $50 per month plus $0.10 per text message.'

Back

y = 0.10x + 50.

Front

Given the equation y = -4x + 7, find the slope and y-intercept.

Back

Slope: -4, Y-intercept: 7.

Front

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

Back

If the slope of a line is zero, it means the line is horizontal and there is no change in y as x changes.