Graphing point slope form

Front

What is point-slope form?

Back

Point-slope form is a way to express the equation of a line using a point on the line and the slope. It is written as: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

How do you convert from slope-intercept form to point-slope form?

Back

To convert from slope-intercept form (y = mx + b) to point-slope form (y - y1 = m(x - x1)), identify a point (x1, y1) on the line and use the slope m.

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (positive slope = rising, negative slope = falling).

Front

Given the point (-2, -1) and slope -3, write the equation in point-slope form.

Back

y + 1 = -3(x + 2)

Front

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

Back

The slope is -3.

Front

If a line has a slope of 2 and passes through the point (3, 6), what is the equation in point-slope form?

Back

y - 6 = 2(x - 3)

Front

What is the significance of the point (x1, y1) in point-slope form?

Back

The point (x1, y1) is a specific point on the line that helps define the line's position in the coordinate plane.

Front

How do you identify the slope from the equation y - 3 = 2(x - 6)?

Back

The slope is the coefficient of (x - 6), which is 2.

Front

Write the equation in point-slope form for a line with slope -1/6 passing through (9, -2).

Back

y - (-2) = -1/6(x - 9) or y + 2 = -1/6(x - 9)