Alg Slope Review

Front

What is the formula to find the slope (m) of a line?

Back

Front

Convert the equation y + 5 = -3(x - 6) into slope-intercept form.

Back

y = -3x + 13

Front

What is the Point-Slope form of the line that goes through (6,1) with a slope of -3?

Back

y - 1 = -3(x - 6)

Front

How do you calculate the rate of change in elevation?

Back

Rate of change = \frac{\text{Change in elevation}}{\text{Change in time}}

Front

What is the standard form of a linear equation?

Back

Ax + By = C

Front

What does the slope (m) represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x.

Front

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

Back

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

Front

How do you find the y-intercept from the slope-intercept form?

Back

The y-intercept is the value of b in the equation y = mx + b.

Front

What is the significance of the x-intercept in a linear equation?

Back

The x-intercept is the point where the line crosses the x-axis (y=0).

Front

How can you determine if a slope is positive, negative, or zero?

Back

Positive slope: line rises from left to right; Negative slope: line falls from left to right; Zero slope: horizontal line.