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 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 identify the slope from the equation y = mx + b?

Back

In the equation y = mx + b, the slope (m) is the coefficient of x.

Tags

CCSS.8.EE.B.5

Front

What does the y-intercept represent in the slope-intercept form?

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 standard form equation x + 4y = 8 to slope-intercept form.

Back

To convert, solve for y: 4y = -x + 8, so y = -\frac{1}{4}x + 2.

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 find the slope from 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 represented by the equation y = 3x - 5?

Back

The slope of the line is 3.

Tags

CCSS.8.EE.B.5

Front

Write the equation of a line with a slope of -2 and a y-intercept of 1 in slope-intercept form.

Back

The equation is y = -2x + 1.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Identify the slope and y-intercept from the equation y = 5x + 4.

Back

The slope is 5 and the y-intercept is 4.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Tags

CCSS.8.EE.B.5