Systems of Equations, Slope, Slope-Intercept Form, Writing Equations of Lines

A solution to a system of equations with two variables is a point that...

• satisfies all equations in the system

• satisfies only one equation in the system

• has numbers that show up in each of the equation in the system

• has numbers that show up in one of the equations in the system

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

When does a system of linear equations have no solutions?

• one is a vertical line

• perpendicular lines

• parallel lines

• same lines

Tags

CCSS.8.EE.C.8A

How can we tell if two lines are parallel?

• different y-intercept

• same y-intercept

• different slope

• same slope

Tags

CCSS.8.EE.B.6

When writing your own system of equations for a word problem, what do the labels with "each" or "per" indicate for a quantity? (mpg, km/h, dollars per day)

• that it is a starting value (y-intercept)

• that it is a rate of change (slope)

• that it is a total (y)

• that it is an input (x)

Tags

CCSS.8.EE.B.5

Write the slope-intercept form of the equation that has a slope of 4 and a y-intercept of −3.

• y = 4x − 3

• y = −3x + 4

• y = −4x + 3

• y = 3x − 4

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Given the slope of 3/4 and a y-intercept of -2; write an equation of the line in slope-intercept form.

• y = -2x + 3/4

• y = -3/4 x - 2

• y = 3/4 x - 2

• y = -2x - 3/4

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Write an equation in slope-intercept form from the points (0, 5) and (4, 3)

• y = 5x + 5

• y = 1/2x + 5

• y = 1/2x - 5

• x = 5

A plumber charges $25 for a service call plus $50 per hour of service.  Write an equation in slope-intercept form for the cost, y, after x hours of service.