Writing Linear Equations from Graphs

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 find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What does the 'm' represent in the equation y = mx + b?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does the 'b' represent in the equation y = mx + b?

Back

In the equation y = mx + b, 'b' represents the y-intercept, the point where the line crosses the y-axis.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

How do you convert a point-slope equation to slope-intercept form?

Back

To convert from point-slope form (y - y1 = m(x - x1)) to slope-intercept form (y = mx + b), solve for y.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

What is the slope of the line that passes through the points (2, 3) and (4, 7)?

Back

The slope is m = (7 - 3) / (4 - 2) = 4 / 2 = 2.

Tags

CCSS.8.EE.B.5

Front

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

Back

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

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Tags

CCSS.8.EE.B.5

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

Tags

CCSS.HSG.CO.A.1

CCSS.4.G.A.1