Answer:
The y-intercept of the function y=3x+2 is equal to the y-intercept of the function represented in the graph.
Step-by-step explanation:
The slope intercept form of a line.
.... (1)
Where, m is slope and b is y-intercept of the line.
The given function is
.... (2)
On comparing (1) and (2), we get
Therefore slope of given function is 3 and y-intercept of given function is 2.
From the given graph it is noticed that the line intersects the y-axis at y=2, therefore the y-intercept of the function represented in the graph is 2.
Therefore y-intercept of the function y=3x+2 is equal to the y-intercept of the function represented in the graph.
Answer:
(32/15, -2/5)
Step-by-step explanation:
(1) ³/₂x - 2y = 4
(2) x + ⅓y = 2
(3) 3x - 4y = 8 Multiplied (1) by 2
(4) 3x + y = 6 Multiplied (2) by 3
5y = -2 Subtracted (3) from (4)
(5) y = -⅖ Divided each side by 5
x + ⅓(-⅖) = 2 Substituted (5) into (2)
x - ²/₁₅ = 2
x = 2 + ²/₁₅ Added ²/₁₅ to each side
x = 32/15
The system of equations has only one solution: (32/15, -2/5).
