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

Front

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

Back

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

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

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

How do you find the slope of a line given its equation in slope-intercept form?

Back

The slope of a line in slope-intercept form (y = mx + b) is the coefficient m.

Front

What is the slope of a line that is parallel to the line y = -6x + 3?

Back

The slope of a line parallel to y = -6x + 3 is -6.

Front

What is the slope of a line that is perpendicular to the line y = -6x + 3?

Back

The slope of a line perpendicular to y = -6x + 3 is 1/6.

Front

How do you write the equation of a line in point-slope form given a point and a slope?

Back

Use the formula y - y1 = m(x - x1), substituting the given point (x1, y1) and the slope m.

Front

What is the slope of the line represented by the equation y + 3 = 1/2(x - 1)?

Back

The slope of the line is 1/2.

Front

How do you determine the y-intercept from the slope-intercept form of a line?

Back

The y-intercept is the value of b in the slope-intercept form equation y = mx + b.