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 y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

How do you identify the slope from the point-slope form equation?

Back

In the equation y - y1 = m(x - x1), the slope m is the coefficient of (x - x1).

Front

What does the point (x1, y1) represent in the point-slope form?

Back

The point (x1, y1) represents a specific point on the line described by the equation.

Front

Convert the point-slope form y - 3 = 2(x + 4) to slope-intercept form.

Back

The slope-intercept form is y = 2x + 5.

Front

What is the slope of the line represented by the equation y + 1 = -3(x - 5)?

Back

The slope of the line is -3.

Front

Write the point-slope form for a line with slope 1 passing through the point (-2, -3).

Back

y + 3 = 1(x + 2).

Front

If a line has a slope of 2 and passes through the point (4, -1), what is its point-slope form?

Back

y + 1 = 2(x - 4).

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness and direction of the line; a positive slope means the line rises, while a negative slope means it falls.

Front

How do you find a point on a line given its equation in point-slope form?

Back

You can substitute any value for x into the equation to find the corresponding y value.

Front

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

Back

Point-slope form can be converted to slope-intercept form (y = mx + b) by solving for y.