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 find 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 does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

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

Back

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

Front

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

Back

y = -x - 2.

Front

Given points (5, -4) and (0, -3), what is the slope of the line?

Back

The slope m = (-3 - (-4)) / (0 - 5) = 1/5.

Front

Write the equation of the line in slope-intercept form through (5, -4) and (0, -3).

Back

y = -1/5x - 3.

Front

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

Back

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

Front

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

Back

y = 3/2x + 3.

Front

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

Back

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