Graphing Linear Equations

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 find the slope from two points (x₁, y₁) and (x₂, y₂)?

Back

The slope (m) is calculated using the formula m = (y₂ - y₁) / (x₂ - x₁).

Front

Write the equation of a line in point-slope form that passes through (3,8) with a slope of 5.

Back

y - 8 = 5(x - 3)

Front

What does the y-axis represent in a graph?

Back

The y-axis represents the vertical axis in a graph.

Front

Write the equation of a line in point-slope form that passes through (7,10) with a slope of -2.

Back

y - 10 = -2(x - 7)

Front

What is the slope of the line represented by the equation y = 3/4x - 3?

Back

The slope is 3/4.

Front

What is the difference between the x-axis and y-axis?

Back

The x-axis is the horizontal axis, while the y-axis is the vertical axis.

Front

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

Back

To convert, solve for y: y = mx + b.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.