PLZ HELP ASAP...Write the equation of a line a slope intercept form Slope= -4 Point = (2,-4)

Mathematics

1 answer:

maksim [4K]3 years ago

5 0

Answer:

y=-4x+4

Step-by-step explanation:

equation of a line: y=mx+b (m:slope, b: y-intercept)

m=-4 (given)

y=-4x+b

substitute with (2, -4): -4=(-4)(2)+b

solve for b: -4=-8+b, b=4

y=-4x+4

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2x+5y=-3<br>3x-y=21<br>help me

arlik [135]

Problem:
Solve
2
x
+
5
y
=
−
3
;
3
x
−
y
=
21
Steps:
I will try to solve your system of equations.
3
x
−
y
=
21
;
2
x
+
5
y
=
−
3
Step: Solve
3
x
−
y
=
21
for y:
3
x
−
y
+
−
3
x
=
21
+
−
3
x
(Add -3x to both sides)
−
y
=
−
3
x
+
21
−
y
−
1
=
−
3
x
+
21
−
1
(Divide both sides by -1)
y
=
3
x
−
21
Step: Substitute
3
x
−
21
for
y
in
2
x
+
5
y
=
−
3
:
2
x
+
5
y
=
−
3
2
x
+
5
(
3
x
−
21
)
=
−
3
17
x
−
105
=
−
3
(Simplify both sides of the equation)
17
x
−
105
+
105
=
−
3
+
105
(Add 105 to both sides)
17
x
=
102
17
x
17
=
102
17
(Divide both sides by 17)
x
=
6
Step: Substitute
6
for
x
in
y
=
3
x
−
21
:
y
=
3
x
−
21
y
=
(
3
)
(
6
)
−
21
y
=
−
3
(Simplify both sides of the equation)
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y
=
−
3
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The graphs of f(x) and g(x) are shown below: graph of function f of x open upward and has its vertex at negative 7, 0. Graph of

dexar [7]

The equation of the function is g(x)=(x+7)² -2 , Option D is the correct answer.

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The equation for g(x) is ?

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g(x) is formed by the translation of the function f(x) such that it's vertex is (-7,-2)