Ch. 7.1-7.3 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

Convert the points (-2, -3) and (4, 3) into point-slope form.

Back

y + 3 = 1(x + 2)

Front

What is the 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

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

Back

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

Front

Write the equation in point-slope form for the line that passes through (-2, -1) with a slope of -3.

Back

y + 1 = -3(x + 2)

Front

If the slope is -4 in the equation y + 3 = -4(x - 9), what is the point?

Back

(9, -3)

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating 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 significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form y = mx + b.

Front

How can you determine if two lines are parallel using their slopes?

Back

Two lines are parallel if they have the same slope.