Writing Equations of Lines Review

Front

What is the formula to calculate the slope of a line?

Back

The slope (m) is calculated using the formula: m = \frac{rise}{run}.

Front

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

Back

The slope is calculated as m = \frac{y2 - y1}{x2 - x1}.

Front

What is the slope of the line that passes through the points (2, 6) and (3, 1)?

Back

The slope is m = \frac{1 - 6}{3 - 2} = -5.

Front

What is the equation of a line in slope-intercept form?

Back

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

Front

If a line has a slope of 2 and passes through the point (-4, 1), what is its equation?

Back

The equation is y - 1 = 2(x + 4).

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line is decreasing from left to right.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line is increasing from left to right.

Front

What is the meaning of the y-intercept in a linear equation?

Back

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

Front

How do you interpret the slope in a real-world context?

Back

The slope represents the rate of change between two variables.

Front

What is the correlation coefficient (r) and what does it indicate?

Back

The correlation coefficient (r) measures the strength and direction of a linear relationship between two variables.