PC Review - 1.1-1.4

Front

What is the slope of a line perpendicular to a line with slope \( m \)?

Back

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

Front

Write the equation of a line in slope-intercept form given a slope and a point.

Back

Use the formula \( y - y_1 = m(x - x_1) \) to find the equation, then rearrange to slope-intercept form \( y = mx + b \).

Front

What is the domain of the function \( f(x) = -\sqrt{4x - x^2} \)?

Back

The domain is the set of all \( x \) values for which the expression under the square root is non-negative. For this function, the domain is \([0, 4]\).

Front

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

Back

The y-intercept is the value of \( b \) in the equation \( y = mx + b \).

Front

What is the equation of a line that passes through the point (2, -3) and is perpendicular to the line \( y = \frac{2}{5}x + \frac{3}{5} \)?

Back

The equation is \( y = -\frac{5}{2}x + 2 \).

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

Write the equation of a line in slope-intercept form with a slope of \( \frac{1}{2} \) that passes through the point (-4, 8).

Back

The equation is \( y = \frac{1}{2}x + 10 \).

Front

What is the equation of a vertical line that passes through the point (-1, 6)?

Back

The equation is \( x = -1 \).

Front

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

Back

The slope is -2.

Front

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

Back

Set \( y = 0 \) and solve for \( x \).