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 y-intercept of a linear equation?

Back

To find the y-intercept of a linear equation, set x = 0 and solve for y. The y-intercept is the point where the line crosses the y-axis.

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 4y = 8x - 16 into slope-intercept form.

Back

y = 2x - 4.

Front

What is the y-intercept of the equation y = 3x + 6?

Back

The y-intercept is 6.

Front

Given the equation y = -2x + 4, what is the slope?

Back

The slope is -2.

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

Identify the slope and y-intercept of the equation y = 5x - 3.

Back

Slope: 5, Y-intercept: -3.

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.