Equation from Two Points

Front

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

Back

The slope-intercept form of a linear equation is given by 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 in the equation y = mx + b?

Back

The y-intercept (b) is the value of y when x = 0, representing the point where the line crosses the y-axis.

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 (-4, -1), what is the slope of the line?

Back

The slope is m = (-1 - (-5)) / (-4 - 4) = 4 / -8 = -1/2.

Front

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

Back

y = -1/2x - 3.

Front

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

Back

The slope is m = (-1 - 5) / (2 - 4) = -6 / -2 = 3.

Front

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

Back

y = 3x - 7.

Front

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

Back

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