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

Back

y + 5 = 2(x - 3).

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

If a line has a slope of 1/2, what is the slope of a line that is perpendicular to it?

Back

The slope of the perpendicular line would be -2.

Front

Write the equation of a line that passes through (-9, 2) and is perpendicular to y = 3x - 12.

Back

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

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 convert the equation y = mx + b to point-slope form?

Back

You can convert it by using a point (x₁, y₁) on the line: y - y₁ = m(x - x₁).

Front

What is the significance of the y-intercept 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

Write the equation in point-slope form for the line that contains the points (4, -7) and has a slope of -1/4.

Back

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