Answer:
3x−2y=12
Solve for y
.
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Subtract 3x
from both sides of the equation.
−2y=12−3x
Divide each term by −2
and simplify.
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y=−6+3x2
Rewrite in slope-intercept form.
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The slope-intercept form is y=mx+b
, where m is the slope and b
is the y-intercept.
y=mx+b
Reorder −6
and 3x2
.
y=3x2−6
Rewrite in slope-intercept form.
y=32x−6
Use the slope-intercept form to find the slope and y-intercept.
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Find the values of m
and b using the form y=mx+b
.
m=32
b=−6
The slope of the line is the value of m
, and the y-intercept is the value of b
.
Slope: 32
Y-Intercept: −6
Any line can be graphed using two points. Select two x
values, and plug them into the equation to find the corresponding y
values.
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Choose 0
to substitute in for x
to find the ordered pair.
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(0,−6)
Choose 1
to substitute in for x
to find the ordered pair.
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(1,−92)
Create a table of the x
and y
values.
xy0−61−92
Graph the line using the slope and the y-intercept, or the points.
Slope: 32
Y-Intercept: −6
xy0−61−92
Answer:
∠ G = 121°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180
x + 3x + 25 + x - 5 = 180 , that is
5x + 20 = 180 ( subtract 20 from both sides )
5x = 160 ( divide both sides by 5 )
x = 32
Thus
∠ G = 3x + 25 = 3(32) + 25 = 96 + 25 = 121°
Notice, is really the same. All we do is, "insert one function into the other".
so, a way to do it is, get the value of the first one, then insert that output into the second.
