Topic 2 Review

Front

What is the point-slope form of a linear equation?

Back

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

Front

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

Back

To convert, solve for y: y = mx + (y₁ - mx₁).

Front

What is slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

How do you find the slope between two points (x₁, y₁) and (x₂, y₂)?

Back

The slope m is calculated as m = (y₂ - y₁) / (x₂ - x₁).

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the slope-intercept form.

Front

Write the point-slope form of the line with point (7,10) and slope -2.

Back

y - 10 = -2(x - 7).

Front

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

Back

y = 3/5x - 6.

Front

Write the point-slope form of the line that passes through (3,8) and has a slope of 5.

Back

y - 8 = 5(x - 3).

Front

Write the slope-intercept form of the line through the points (−6, −19) and (2, 5).

Back

y = 3x - 1.