Answer :
The table which represents the ordered pair representing the given equation is the last one.
What are Linear Equations?
Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Given is a linear equation,
3x - 2y = 12
Substitute the first set of x and y values from each given in the options.
When x = -1 and y = 7.5,
(3 × -1) - (2 × 7.5) = -18 ≠ 12
When x = -7.5 and y = -1,
(3 × -7.5) - (2 × -1) = -20.5 ≠ 12
When x = -7.5 and y = 1,
(3 × -7.5) - (2 × 1) = -24.5 ≠ 12
When x = -1 and y = -7.5,
(3 × -1) - (2 × -7.5) = 12
Hence the last table is the correct one.
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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.
Tap for fewer steps...
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.
Tap for fewer steps...
Choose 0
to substitute in for x
to find the ordered pair.
Tap for more steps...
(0,−6)
Choose 1
to substitute in for x
to find the ordered pair.
Tap for more steps...
(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
Read more on Brainly.com - https://brainly.com/question/12271401#readmore3x−2y=12
Solve for y
.
Tap for fewer steps...
Subtract 3x
from both sides of the equation.
−2y=12−3x
Divide each term by −2
and simplify.
Tap for more steps...
y=−6+3x2
Rewrite in slope-intercept form.
Tap for fewer steps...
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.
Tap for fewer steps...
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.
Tap for fewer steps...
Choose 0
to substitute in for x
to find the ordered pair.
Tap for more steps...
(0,−6)
Choose 1
to substitute in for x
to find the ordered pair.
Tap for more steps...
(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
Read more on Brainly.com - https://brainly.com/question/12271401#readmore
Step-by-step explanation:
