Equations of Lines

Front

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

Back

The point-slope form of a linear equation is given by the formula: 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 of a line 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 'b' represent in the slope-intercept form of a linear equation?

Back

In the slope-intercept form y = mx + b, 'b' represents the y-intercept, which is 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 + 3y = 6 into slope-intercept form.

Back

The slope-intercept form is y = -2/3x + 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 = 4x - 5?

Back

The slope of the line is 4.

Tags

CCSS.8.EE.B.5

Front

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

Back

A slope of 0 indicates that the line is horizontal.

Tags

CCSS.8.EE.B.5

Front

What is the equation of a vertical line that passes through the point (3, 2)?

Back

The equation of the vertical line is x = 3.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Front

What is the relationship between the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are negative reciprocals of each other (m1 * m2 = -1).

Tags

CCSS.8.EE.B.6

Front

Write the equation of a line in slope-intercept form with a slope of -2 and a y-intercept of 3.

Back

The equation is y = -2x + 3.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3