Writing the Equation of a Line: Slope-Intercept & Standard Form

Front

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

Back

The slope-intercept form is 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 identify the slope from the equation y = mx + b?

Back

The slope (m) is the coefficient of x in the equation.

Tags

CCSS.8.EE.B.5

Front

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

Back

The y-intercept (b) represents the point where the line crosses the y-axis.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Convert the equation 2x - y = -4 to slope-intercept form.

Back

y = 2x + 4.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.

Front

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

Back

Rearrange the equation y = mx + b to the form Ax + By = C.

Front

If the slope is 3 and the y-intercept is -2, what is the equation of the line?

Back

y = 3x - 2.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the slope of the line represented by the equation y = -1/2x + 4?

Back

The slope is -1/2.

Tags

CCSS.8.EE.B.5

Front

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

Back

The slope is calculated as m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

Write the equation of a line with a slope of -4 and a y-intercept of 5.

Back

y = -4x + 5.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3