Writing Equations Bonus Flashcard

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you identify the slope from the equation y = -4/5x + 3?

Back

The slope is -4/5.

Front

What does the y-intercept represent in the equation y = mx + b?

Back

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

Front

Write the equation of a line with a slope of 2 and a y-intercept of 1.

Back

y = 2x + 1.

Front

If a line has a slope of 0, what type of line is it?

Back

A line with a slope of 0 is a horizontal line.

Front

What is the equation for a line that passes through the point (0, -3) with a slope of 1/2?

Back

y = 1/2x - 3.

Front

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

Back

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

Front

What is the meaning of the term 'linear equation'?

Back

A linear equation is an equation that graphs a straight line.

Front

Write the equation for a total cost (y) of x items at $5 each.

Back

y = 5x.

Front

What is the formula for calculating the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).