Point slope Form

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

Back

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

Front

What is the slope of the line that passes through the points (9, 3) and (7, 8)?

Back

The slope is -5/2.

Front

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

Back

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

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

Which equation represents slope-intercept form?

Back

y = mx + b.

Front

Find the equation of the line that passes through the points (2, 2) and (3, 4) in point-slope form.

Back

The equation is y - 2 = 2(x - 2).

Front

Convert the point-slope form y - 2 = 2(x - 2) to slope-intercept form.

Back

The slope-intercept form is y = 2x - 2.

Front

What does 'm' represent in the equation of a line?

Back

In the equation of a line, 'm' represents the slope of the line.

Front

What does 'b' represent in the slope-intercept form of a linear equation?

Back

In the slope-intercept form, 'b' represents the y-intercept, the point where the line crosses the y-axis.