Point-Slope Form

Front

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

Back

The point-slope form of a linear equation is given by the formula: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

How do you find the slope between two points?

Back

The slope (m) between two points (x1, y1) and (x2, y2) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

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

Back

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

Front

Write the point-slope form of the line that passes through (3, -5) with a slope of 2.

Back

y + 5 = 2(x - 3).

Front

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

Back

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

Front

Convert the point-slope equation y + 5 = 2(x - 3) to slope-intercept form.

Back

y = 2x - 6 - 5, which simplifies to y = 2x - 11.

Front

What is the equation in point-slope form for a line with slope -3 that passes through (10, 5)?

Back

y - 5 = -3(x - 10).

Front

How do you convert a point-slope equation to slope-intercept form?

Back

To convert, isolate y on one side of the equation, simplifying as necessary.

Front

Write the point-slope form of the line that passes through (6, 1) with a slope of -3.

Back

y - 1 = -3(x - 6).

Front

What is the equation in point-slope form for a line that passes through (4, -7) with a slope of -1/4?

Back

y + 7 = -1/4(x - 4).