Point-Slope Form

Front

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

Back

The point-slope form is given by the equation: 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 (x₁, y₁) and (x₂, y₂)?

Back

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

Front

Write the point-slope form for a line with slope 3 passing through the point (2, 5).

Back

y - 5 = 3(x - 2).

Front

What does it mean for two lines to be parallel in terms of slope?

Back

Two lines are parallel if they have the same slope.

Front

Convert the point-slope equation y - 1 = 2(x + 3) to slope-intercept form.

Back

y = 2x + 7.

Front

What is the slope of the line represented by the equation y = 4x + 2?

Back

The slope is 4.

Front

If a line has a slope of -2, what is the slope of a line parallel to it?

Back

The slope of a parallel line is also -2.

Front

Write the equation in point-slope form for a line that is parallel to y = -3x + 2 and goes through the point (4, 1).

Back

y - 1 = -3(x - 4).

Front

What is the slope of the line that passes through the points (1, 2) and (3, 6)?

Back

The slope is 2.

Front

Write the equation in point-slope form for a line that goes through the point (0, 0) with a slope of 5.

Back

y - 0 = 5(x - 0) or y = 5x.