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 'm' represent in the slope-intercept form (y = mx + b)?

Back

In the slope-intercept form, 'm' represents the slope of the line, which indicates the rate of change of y with respect to x.

Front

What does 'b' represent in the slope-intercept form (y = mx + b)?

Back

In the slope-intercept form, 'b' represents the y-intercept, which is the point where the line crosses 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 y-intercept of the equation y = 3x + 7?

Back

The y-intercept is 7, which is the value of y when x = 0.

Front

What is the slope of the line represented by the equation y = -2x + 5?

Back

The slope is -2, indicating that for every 1 unit increase in x, y decreases by 2 units.

Front

If a fitness club starts with 80 members and gains 15 members each month, what is the equation for total membership after x months?

Back

The equation is y = 15x + 80.

Front

What is the slope of the line represented by the equation y = 4x - 1?

Back

The slope is 4.

Front

What is the y-intercept of the equation y = -3x + 2?

Back

The y-intercept is 2.

Front

How do you convert the equation y = 2x + 3 into standard form?

Back

To convert to standard form, rearrange it to 2x - y = -3.