Okay, so I'm assuming you want to know the intersection?
-5 = -1/2x - 2
-3 = -1/2x
1/2x = 3
x = 6
(6, -5)
Answer:
y = 4/3x - 4
Step-by-step explanation:
to find the equation of a line with 2 points, we use the slope formula which is:

we will use (6,4) as
and we will use (-3,-8) as
. we plug this into the slope formula:

-8 - 4 = -12
-3 - 6 = -9
the slope is 
but we can simplify this further by dividing the fraction by -3
-12 / -3 = 4
-9 / -3 = 3
the simplified version of the slope is 
we can write this in slope-intercept form which is y =mx + b, with b being the y intercept and m being the slope
y = 4/3x + b <--- we need to solve for <em>b</em> in order to find the y intercept, so substitute x & y for a point on the line, we can use any point we are given, but for this example i will use (6,4)
4 = 4/3(6) + b < multiply 4/3 x 6
4 = 8 + b < subtract 8 from both sides
-4 = b
our y intercept would be (0,-4)
the equation looks like the following:
y = 4/3x - 4, which is our answer
Answer:
21
Step-by-step explanation:
f(x) = 2x^2 + 3
f(-3) = 2(-3)^2 + 3
f(-3) = 2(9) + 3
f(-3) = 18 + 3
f(-3) = 21
2/4 is one you could put because 2/4 = 1/2 = 6/12, and 6/12 is less than 7/12.
Glad I could help, and good luck!
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To find the ordered pair, we simply set the x value equal to 6.
We already know the first coordinate will be 6.
f(6) = 3(6) - 4
f(6) = 18 - 4
f(6) = 14
<h3><u>The y value is 14, and so our coordinate pair is (6, 14)</u></h3>