Point-Slope Form

Front

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

Back

The point-slope form of a linear equation is given by the formula: y - y_1 = m(x - x_1), where (x_1, y_1) is a point on the line and m is the slope.

Front

Identify the slope in the equation y - 3 = 2(x + 4).

Back

The slope (m) is 2.

Front

What point does the line y + 1 = 2(x - 5) pass through?

Back

The line passes through the point (5, -1).

Front

Convert the equation y - 5 = 3(x + 2) to slope-intercept form.

Back

The slope-intercept form is y = 3x + 11.

Front

What is the slope of the line represented by the equation y - 3 = -4(x + 1)?

Back

The slope (m) is -4.

Front

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

Back

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

Front

What is the significance of the point (x_1, y_1) in the point-slope form?

Back

The point (x_1, y_1) is a specific point on the line used to define the line's position.

Front

How do you find the slope from the point-slope form equation y - 2 = 3(x + 1)?

Back

The slope (m) is the coefficient of (x), which is 3.

Front

What is the equation of a line with a slope of -2 that passes through the point (4, 1)?

Back

The equation is y - 1 = -2(x - 4).

Front

Determine the point on the line y + 2 = 1(x - 3).

Back

The point on the line is (3, -2).