Math Medic Final Review

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 find the x-intercept of a line given in slope-intercept form?

Back

Set y = 0 in the equation y = mx + b and solve for x.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does it mean if two lines have the same slope but different y-intercepts?

Back

It means the lines are parallel and will never intersect, resulting in no solutions.

Tags

CCSS.8.EE.C.8B

Front

What is the significance of the point (0,0) in a linear equation?

Back

It is the origin and represents the y-intercept when x = 0.

Tags

CCSS.HSF-IF.C.7A

Front

How can you determine if a system of equations has one solution, no solution, or infinitely many solutions?

Back

If the lines intersect at one point, there is one solution. If they are parallel, there is no solution. If they are the same line, there are infinitely many solutions.

Tags

CCSS.8.EE.C.8B

Front

What does it mean for a system of equations to have no solution?

Back

It means the equations represent parallel lines that do not intersect.

Tags

CCSS.8.EE.C.8A

Front

What is the formula to find the slope between two points (x1, y1) and (x2, y2)?

Back

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

Tags

CCSS.8.EE.B.5

Front

What is the relationship between the slopes of two lines that are perpendicular?

Back

The slopes of two perpendicular lines are negative reciprocals of each other, meaning m1 * m2 = -1.

Tags

CCSS.8.EE.B.6

Front

How do you convert the standard form of a linear equation to slope-intercept form?

Back

Rearrange the equation Ax + By = C to solve for y, resulting in y = (-A/B)x + (C/B).

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does the term 'y-intercept' refer to in a linear equation?

Back

The y-intercept is the value of y when x = 0, represented by the b in the slope-intercept form y = mx + b.