Algebra 1: 6.2 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 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 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

Given the equation y - 3 = 2(x + 4), what is the slope?

Back

The slope is 2.

Front

What point does the line y - 3 = 2(x + 4) pass through?

Back

The line passes through the point (-4, 3).

Front

How do you convert two points into point-slope form?

Back

First, calculate the slope m using m = (y2 - y1) / (x2 - x1). Then use one of the points (x1, y1) to write the equation in point-slope form.

Front

What is the slope of the line that passes through the points (-2, -3) and (4, 3)?

Back

The slope is 1.

Front

Write the point-slope form for the line that passes through (10, 5) with a slope of -3.

Back

y - 5 = -3(x - 10).

Front

What is the significance of the point (10, 5) in the equation y - 5 = -3(x - 10)?

Back

It is a point on the line represented by the equation.

Front

How do you find the y-intercept from the point-slope form?

Back

Rearrange the point-slope form to slope-intercept form (y = mx + b) to identify the y-intercept b.