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

Convert the equation 5y - 15 = 10x into slope-intercept form.

Back

The slope-intercept form is y = 2x + 3.

Front

What is the slope of the equation y = -3x + 4?

Back

The slope is -3.

Front

Identify the slope and y-intercept of the equation y = 2x + 5.

Back

Slope: 2, Y-intercept: 5.

Front

Write the linear equation for the word problem: 'A car rental company charges a flat fee of $30 plus $0.20 per mile driven.'

Back

y = 0.20x + 30.

Front

What is the slope of the line represented by the equation y = 0.5x - 3?

Back

The slope is 0.5.

Front

How do you determine the y-intercept from the equation y = mx + b?

Back

The y-intercept can be found directly as 'b' in the equation y = mx + b.