Writing 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 the slope (m) represent in a linear equation?

Back

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

Front

What does the y-intercept (b) represent in a linear equation?

Back

The y-intercept (b) is the value of y when x is 0. It is the point where the line crosses the y-axis.

Front

How do you write the equation of a line given a slope and a y-intercept?

Back

The equation can be written as y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the equation for a line with a slope of 2 and a y-intercept of 3?

Back

y = 2x + 3

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

y = 15x + 80

Front

If Adrianna has $20 and adds $5 each week, what is the equation for her savings after x weeks?

Back

y = 5x + 20

Front

What does the equation y = 12x - 4 represent?

Back

It represents the cost, y, after a $4 discount, of buying x T-shirts that sell for $12 each.

Front

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

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line represented by the equation y = -2x + 4?

Back

The slope is -2.