Write perpendicular line equation

Front

What is the slope of a line perpendicular to a line with slope 3?

Back

The slope of a line perpendicular to a line with slope 3 is -\frac{1}{3}.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated as m = \frac{y2 - y1}{x2 - x1}.

Front

What is the general form of the equation of a line?

Back

The general form of the equation of a line is Ax + By + C = 0.

Front

What is the point-slope form of a line's equation?

Back

The point-slope form is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Front

If a line has the equation y = 2x + 3, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to y = 2x + 3 is -\frac{1}{2}.

Front

What is the equation of a line that passes through the point (1, 2) with a slope of 4?

Back

The equation is y - 2 = 4(x - 1) or y = 4x - 2.

Front

How do you convert the equation 2x + 3y = 6 into slope-intercept form?

Back

To convert, solve for y: 3y = -2x + 6, so y = -\frac{2}{3}x + 2.

Front

What is the relationship between the slopes of two perpendicular lines?

Back

The product of the slopes of two perpendicular lines is -1.

Front

If a line has the equation y = -3x + 5, what is the equation of a line perpendicular to it that passes through (2, 1)?

Back

The perpendicular line is y - 1 = \frac{1}{3}(x - 2) or y = \frac{1}{3}x + \frac{1}{3}.

Front

What is the slope of the line represented by the equation 4x - 2y = 8?

Back

Rearranging gives y = 2x - 4, so the slope is 2.