Writing Equations Bonus Flashcard

Front

Write a linear equation in the form of y=mx+b.

Back

The equation of a line in slope-intercept form is 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, indicating how steep the line is.

Front

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

Back

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

Front

Write the equation for a plumber charging $50 for a house call plus $40 for each hour worked.

Back

y = 50 + 40x, where y is the total charge and x is the number of hours worked.

Front

How do you write an equation with a slope of 2/3 and a y-intercept of -3?

Back

The equation is y = 2/3x - 3.

Front

What is the equation of a line with a slope of -4/5 and a y-intercept of 3?

Back

The equation is y = -4/5x + 3.

Front

Write a linear equation for a line with a slope of 6 and a y-intercept of -4.

Back

The equation is y = 6x - 4.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By + C = 0, where A, B, and C are constants.

Front

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

Back

To convert to standard form, rearrange to -2x + y = 2 or 2x - y = -2.

Front

What is the slope of the line represented by the equation y = 3x - 5?

Back

The slope of the line is 3.