Linear Equations Review

Front

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

Back

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

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x.

Front

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

Back

Slope (m) = (y₂ - y₁) / (x₂ - x₁).

Front

What is the slope of the line that passes through the points (1, 4) and (3, -2)?

Back

-3

Front

Convert the equation y + 5 = -3(x - 6) into slope-intercept form.

Back

y = -3x + 13.

Front

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

Back

y = mx + b where m is the slope and b is the y-intercept.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Front

If a line has a slope of -5, what does this indicate about its direction?

Back

The line decreases as it moves from left to right.

Front

What is the y-intercept in the equation y = 2x + 3?

Back

The y-intercept is 3.