Writing Equations

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you find the slope (m) given 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 y-intercept (b) represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Write the equation of the line with slope m = -2 and passing through the point (-3, 9).

Back

y = -2x + 3.

Front

Write the equation of the line with slope m = -5 and y-intercept b = 6.

Back

y = -5x + 6.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Write the equation of the line with slope m = 2/3 and y-intercept b = -4.

Back

y = 2/3x - 4.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you determine the slope from a graph of a line?

Back

The slope can be determined by selecting two points on the line and using the formula m = (rise/run), where rise is the change in y and run is the change in x.

Tags

CCSS.8.EE.B.5

Front

Write the equation of the line that passes through the points (-2, 6) and (-1, 2).

Back

y = -4x - 2.

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.

Tags

CCSS.8.EE.B.5

Front

Write the equation of the line from the graph with a slope of -2/3 and a y-intercept of 5.

Back

y = -2/3x + 5.