Writing Equations From 2 Points

Front

What is the formula to find the slope (m) between two points (x1, y1) and (x2, y2)?

Back

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

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the y-intercept in the equation of a line y = mx + b?

Back

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

Front

How do you write the equation of a line given the slope and a point?

Back

Use the point-slope form: y - y1 = m(x - x1).

Front

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

Back

y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

How do you convert the point-slope form to slope-intercept form?

Back

Rearrange the equation to solve for y: y = mx + b.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

Given the points (1, 2) and (3, 6), what is the slope of the line?

Back

m = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

If a line has a slope of -1 and passes through the point (2, 3), what is its equation?

Back

y - 3 = -1(x - 2) or y = -x + 5.