Writing Equations (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 find the slope (m) 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 is the slope of the line that passes through the points (4,2) and (0,6)?

Back

The slope is -1, calculated as m = (6 - 2) / (0 - 4) = 4 / -4 = -1.

Tags

CCSS.8.EE.B.5

Front

What is the equation of the line in Point-Slope Form that passes through the point (2,3) with a slope of 4?

Back

The equation is: y - 3 = 4(x - 2).

Front

Convert the Point-Slope Form y - 1 = 2(x - 3) to Slope-Intercept Form.

Back

The Slope-Intercept Form is: y = 2x - 5.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the y-intercept of the line represented by the equation y = 3x - 4?

Back

The y-intercept is -4, which is the value of y when x = 0.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you determine if two lines are parallel using their slopes?

Back

Two lines are parallel if they have the same slope (m).

Tags

CCSS.8.EE.B.6

Front

What is the equation of the line that passes through (3,-1) and (2,-4)?

Back

The equation is: y = 3x - 10.

Front

What is the slope of the line that passes through (-3, -4) and (7, 6)?

Back

The slope is 1, calculated as m = (6 - (-4)) / (7 - (-3)) = 10 / 10 = 1.

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Tags

CCSS.8.EE.B.5