Writing Equations of Lines

Front

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

Back

The slope-intercept form of a linear equation is given by 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 of a line in slope-intercept form?

Back

In the slope-intercept form y = mx + b, the slope is represented by the coefficient m.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How can you find the equation of a line given a slope and a point?

Back

You can use the point-slope form of the equation: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

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

Back

The point-slope form of a linear equation is given by y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Front

How do you convert from point-slope form 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.EE.B.6

CCSS.8.F.A.3

Front

What is the formula to calculate 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

How do you write the equation of a line given two points?

Back

First, calculate the slope using the two points, then use the point-slope form to write the equation.

Front

What is the significance of a positive slope in a linear equation?

Back

A positive slope indicates that the line rises as it moves from left to right.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls as it moves from left to right.

Tags

CCSS.8.EE.B.5