Point-Slope Form

Front

What is the Point-Slope Form of a linear equation?

Back

Front

Identify the slope in the equation: y - 4 = -1/3(x - 7)

Back

The slope (m) is -1/3.

Front

Which of the following is NOT a correct equation in point-slope form? y - 0 = 1/2(x + 2), y - 1 = 1/2(x - 0), y + 2 = 1/2(x + 2), y - 2 = 1/2(x - 2)

Back

y + 2 = 1/2(x + 2) is NOT a correct equation in point-slope form.

Front

Convert the point-slope form y - 4 = -1/3(x - 7) to slope-intercept form.

Back

The slope-intercept form is y = -1/3x + 25/3.

Front

What are the coordinates of the point in the equation y - 4 = -1/3(x - 7)?

Back

The coordinates are (7, 4).

Front

What is the slope of the line represented by the equation y - 2 = 2(x - 3)?

Back

The slope (m) is 2.

Front

Write the equation for the line in point-slope form that passes through the point (3, -5) with a slope of 2.

Back

The equation is y + 5 = 2(x - 3).

Front

What is the slope-intercept form of the line with slope 4 and y-intercept 3?

Back

The slope-intercept form is y = 4x + 3.

Front

If a line has a slope of -1/2 and passes through the point (2, 3), what is its equation in point-slope form?

Back

The equation is y - 3 = -1/2(x - 2).

Front

What is the relationship between point-slope form and slope-intercept form?

Back

Point-slope form can be converted to slope-intercept form by solving for y.