Subtract (1/3)x from both sides of the equation.
(1/3)(x) - (1/3)(x) + y = -(1/3)(x) + 4
0 + y = -(1/3)(x) + 4
y = -(1/3)(x) + 4
Done!
x / 3 ≤ -6
---Multiply both sides by 3 to cancel out the denominator on the left side
x ≤ -18
Hope this helps!
The given equation is ⇒ y = -1.2 x + 24
<u>Part A : Graph the equation.</u>
To graph the equation, substitute with values of x then find y
The attached figure represents the table to graph the equation and the graph of the equation.
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<u>Part B : x-intercept</u>
To find x-intercept substitute with y = 0 and solve for x
∴ 0 = -1.2 x + 24
∴ 1.2 x = 24
∴ x = 24/1.2 = 20
x-intercept is at point (20,0)
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<u>Part C : y-intercept</u>
To find y-intercept substitute with x = 0 and solve for y
∴ y = -1.2 * 0 + 24
∴ y = 24
∴ y-intercept is at point (0,24)
Find the slope: m=(19.00-13.60)/(2003-1998)=1.08
so we have y=1.08x +b
next, use the point (2003, 19.00) to find b:
19.00=1.08*2003 +b =>b=-2144.24
so the equation is y=1.08x-2144.24