Writing Linear Equations

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (positive slope goes up, negative slope goes down).

Tags

CCSS.8.EE.B.5

Front

How do you find the y-intercept from a linear equation?

Back

The y-intercept can be found by setting x = 0 in the equation and solving for y. It is the point where the line crosses the y-axis.

Front

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

Back

The slope-intercept form of a linear equation 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 can you determine the slope from two points?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Tags

CCSS.8.EE.B.5

Front

What does it mean if the slope of a line is zero?

Back

If the slope of a line is zero, it means the line is horizontal and there is no change in y as x changes.

Tags

CCSS.8.EE.B.5

Front

What does it mean if the slope of a line is undefined?

Back

If the slope of a line is undefined, it means the line is vertical and there is no change in x as y changes.

Tags

CCSS.8.EE.B.5

Front

How do you write the equation of a line given a slope and a point?

Back

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

Front

What is the relationship between the slopes of parallel lines?

Back

Parallel lines have the same slope. They never intersect.

Tags

CCSS.8.EE.B.5

Front

What is the relationship between the slopes of perpendicular lines?

Back

Perpendicular lines have slopes that are negative reciprocals of each other. If one slope is m, the other is -1/m.

Tags

CCSS.8.EE.B.6