LT.9: Students write linear equations using point-slope formula

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

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

How do you find the slope between two points (1, 2) and (-2, 5)?

Back

The slope (m) is calculated as m = (y₂ - y₁) / (x₂ - x₁) = (5 - 2) / (-2 - 1) = 3 / -3 = -1.

Front

What is the slope of the line represented by the equation y + 6 = 2(x - 9)?

Back

The slope (m) is 2, as it is the coefficient of (x - 9) in the point-slope form.

Front

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

Back

The slope-intercept form is y = -3x + 13.

Front

What does the term 'slope' represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates that the line is vertical.

Front

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

Back

The y-intercept is 3, which is the value of y when x = 0.

Front

How do you determine the y-intercept from the equation y = mx + b?

Back

The y-intercept is the value of b in the equation, representing the point where the line crosses the y-axis.