Math Slope and Y Intercept and Graphs

The graphs of two equations are shown. Which statement is true about the solution of this system of equations?

• The solution is a line.

• The solution is a point.

• There are no solutions.

• There are infinitely many solutions.

At which point do the graphs of these equations intersect?

4x + 3y = 12

2x - 5y = -20

• (0, 4)

• (4, 0)

• The graphs do not intersect.

• The graphs represent the same line

Line m passes through the points (0, -1) and (-3, 5). Which pair of coordinates is on a line that is parallel to line m?

(HINT: Find the slope between each set of points. What do we know about the slopes of parallel lines?)

• (1, 6) and (-4, 1)

• (2, 3) and (-1, 9)

• (-1, 1) and (-5, 7)

• (1, 2) and (-7, -2)

Jan has $100 in her bank account. She adds $15 to her account each month. Maura had $130 in her bank account . She adds $10 to her account each month. A system of equations is used to find how many monthly deposits will be needed for the accounts to have equal balances. Which graph correctly depicts this system of equations and its solution?

• 
• 
• 
• 

What is the solution to system of equations?

y = -3x + 4

3x + 2y = 8

• (-16/3, 20)

• (-4/3, 8)

• (-3, 13)

• (0, 4)

Which point satisfies both equations?

• (0, 2)

• (2, 0)

• (2, 4)

• (-2, 6)

A system of equations is graphed above. What is the solution to the system of equations?

• (0, -6)

• (-2, -3)

• (-3, -2)

• (-4, 0)

In the equation y = mx + b, what do the following terms represent?

• slope

• m

• y-intercept (initial value)

• b

• output

• x

• input

• y

What is the y-intercept of this linear function?
Don't write the coordinate. What y-value would go in the coordinate (0, ?)

Mathematical Equivalence

ON

Graph the linear function with a y-intercept of 4 and slope of 1/2.