4.2 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 the formula: 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?

Back

The slope (m) of a line through two points (x1, y1) and (x2, y2) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the slope of a line that rises 3 units for every 5 units it runs?

Back

The slope of the line is 3/5.

Front

Write the point-slope form of the equation of the line through the point (4, 1) with a slope of -1.

Back

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

Front

Write the equation of the line with slope -2 through the point (7, -1).

Back

y = -2x + 13.

Front

Write the equation of the line with slope 3/5 through the point (20, 6).

Back

y = 3/5x - 6.

Front

How do you convert point-slope form to slope-intercept form?

Back

To convert point-slope form (y - y1 = m(x - x1)) to slope-intercept form (y = mx + b), solve for y.

Front

What is the slope of a line that goes down 7 units for every 2 units it runs to the right?

Back

The slope of the line is -7/2.

Front

Write the equation of the line through the points (-6, -19) and (2, 5).

Back

y = 3x - 1.

Front

Write the equation of the line through the points (7, 8) and (-12, -11).

Back

y = x + 1.