Write the Equation of a Line Using Two Given Points

Front

What is the formula to find the slope (m) of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

How do you find the y-intercept (b) of a line given the slope (m) and a point (x, y)?

Back

You can find the y-intercept (b) using the formula: b = y - mx.

Front

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

Back

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

Front

Given the points (5,5) and (4,-5), what is the slope of the line passing through these points?

Back

The slope (m) is m = (-5 - 5) / (4 - 5) = -10.

Front

What is the equation of the line that passes through the points (5,5) and (4,-5)?

Back

The equation is y = -10x + 45.

Front

Given the points (5,1) and (-5,3), what is the slope of the line passing through these points?

Back

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

Front

What is the equation of the line that passes through the points (5,1) and (-5,3)?

Back

The equation is y = -\frac{1}{5}x + 2.

Front

Given the points (4,-2) and (-4,-4), what is the slope of the line passing through these points?

Back

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

Front

What is the equation of the line that passes through the points (4,-2) and (-4,-4)?

Back

The equation is y = \frac{1}{4}x - 3.

Front

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

Back

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