Equation from Two Points

Front

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

Back

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

Front

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

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

Given points (0, 1) and (4, 4), what is the slope of the line?

Back

The slope is m = (4 - 1) / (4 - 0) = 3/4.

Front

Write the slope-intercept form of the line through (0, 1) and (4, 4).

Back

y = 3/4x + 1.

Front

Given points (4, 5) and (2, -1), what is the slope of the line?

Back

The slope is m = (-1 - 5) / (2 - 4) = 3.

Front

Write the slope-intercept form of the line through (4, 5) and (2, -1).

Back

y = 3x - 7.

Front

Given points (0, -2) and (1, -3), what is the slope of the line?

Back

The slope is m = (-3 - (-2)) / (1 - 0) = -1.

Front

Write the slope-intercept form of the line through (0, -2) and (1, -3).

Back

y = -x - 2.

Front

Given points (-5, 1) and (-1, 5), what is the slope of the line?

Back

The slope is m = (5 - 1) / (-1 - (-5)) = 1.