Answer:
7x + 2y = -22
Step-by-step explanation:
Standard form looks like Ax + By = C.
Start with Y = -7/2x-11. Better to write that as Y = (-7/2)x - 11 to emphasize that the coefficient of x is the fraction -7/2.
Move the (-7/2)x term to the left:
(7/2)x + y = -11
Multiply all terms by 2 to eliminate the fractions:
7x + 2y = -22 (answer)
Let's you and me discuss a few things that you already know:
-- What's a y-intercept ?
The y-intercept on a graph is the place where it crosses the y-axis.
-- That's the value of 'x' at the y-intercept ?
The y-intercept is on the y-axis, so 'x' is zero there.
-- Good ! So how would you find the y-intercept of a function ?
You say that x=0 and look at what 'y' is.
-- Very nice. What's the function in this question ?
The function is
f(x) [or 'y'] = x⁴ + 4x³ - 12x² -32x + 64 .
-- Excellent. What's the value oif that function (or 'y') when x=0 ?
It's just 64 .
-- Beautiful.
Are there any answer choices that cross the y-axis at 64 ?
How many are there ?
There's only one.
It's the upper one on the right hand side.
First add 2y to both sides
so 4 + 3x + 2y = 0
then subtract 4 from both sides
so 3x + 2y = -4
that is standard form
now subtract 3x from both sides
2y = 3x - 4
now divide by 2 on both sides
y = 1.5x - 2
This is solved for y and is slope intercept form
starting from original subtract 4 from both sides
so 3x = -2x -4
now divide by 3 on both sides
so x = -2/3x -4/3
this is solved for x
hope any of that is what you needed.
