Point-Slope Parallel Perpendicular

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 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

What is the slope of a line parallel to a line with slope 2?

Back

The slope of a line parallel to a line with slope 2 is also 2.

Front

What is the slope of a line perpendicular to a line with slope -4?

Back

The slope of a line perpendicular to a line with slope -4 is 1/4.

Front

Write the equation of a line in Point-Slope form that passes through (3, 2) with a slope of 5.

Back

y - 2 = 5(x - 3).

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates that the line is vertical.

Front

Write the equation of a line that is parallel to y = 2x + 3 and passes through the point (1, 4).

Back

y - 4 = 2(x - 1).

Front

Write the equation of a line that is perpendicular to y = -1/2x + 1 and passes through the point (2, 3).

Back

y - 3 = 2(x - 2).