Parallel and Perpendicular Lines and 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: y - y_1 = m(x - x_1), where (x_1, y_1) is a point on the line and m is the slope.

Front

How do you find the slope of a line perpendicular to a given line?

Back

The slope of a line perpendicular to another line is the negative reciprocal of the slope of the original line. If the slope of the original line is m, the perpendicular slope is -1/m.

Front

What is the slope of the line y = -1/4x - 3?

Back

The slope of the line y = -1/4x - 3 is -1/4.

Front

What is the slope of a line parallel to the line y = -1/4x + 2?

Back

The slope of a line parallel to y = -1/4x + 2 is also -1/4.

Front

Write the equation in point-slope form of the line that passes through the point (4, -7) with a slope of -1/4.

Back

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