Finding missing coordinates, slope, and y-intercept

Front

What is the formula to calculate 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 in a graph?

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 of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) where b is the y-coordinate.

Front

Given points (x1, y1) and (x2, y2), how do you find the y-coordinate of a point if the slope is known?

Back

Use the formula: y2 = y1 + m(x2 - x1), where m is the slope.

Front

If the slope of a line is negative, what does that indicate about the direction of the line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line goes downwards from left to right.

Front

How do you find the missing x-coordinate if you know the slope and one point?

Back

Rearrange the slope formula: x2 = x1 + (y2 - y1) / m.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the change in x (denominator) is zero.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0 because there is no change in y (numerator) as x changes.

Front

If two points are (3, 6) and (x, -2) with a slope of 2, what is the value of x?

Back

x = -1.

Front

If the slope between points (-2, 0) and (x, 4) is 2, what is the value of x?

Back

x = 0.