Graphing linear equations

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

How do you identify the slope in the equation y = mx + b?

Back

The slope (m) is the coefficient of x in the equation.

Front

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

Back

The y-intercept (b) represents the point where the line crosses the y-axis.

Front

If a linear equation is given as y = 2x + 3, what is the slope?

Back

The slope is 2.

Front

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

Back

To convert to standard form, rearrange to Ax + By = C, resulting in -3x + y = 2.

Front

What is the rule for a graph with a slope of 1 and a y-intercept of 4?

Back

The rule for the graph is y = 1x + 4.

Front

How do you write an equation for a real-world scenario involving cost?

Back

Identify the fixed cost and variable cost, then use the form y = mx + b, where m is the variable cost per unit and b is the fixed cost.

Front

What is the equation for a line with a slope of -1 and a y-intercept of 0?

Back

The equation is y = -1x + 0, or simply y = -x.

Front

How do you determine the total cost equation for purchasing x pounds of fruit at a given price per pound?

Back

The total cost equation is y = (price per pound)x + fixed cost.

Front

What does a positive slope indicate about a linear graph?

Back

A positive slope indicates that as x increases, y also increases.