Explanation:
The minimum number of points needed to draw a strait line graph is 2. However, 3 is better as one of them forms a check. They should all line up. If not then something is wrong.
Lets determine 2 points
The line will 'cross' the y axis at
x
=
0
and cross the x axis at
y
=
0
So we can determine these points (intercepts) by substitution.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
For y-intercept set
x
=
0
giving:
y
=
2
x
.
.
+
2
y
=
(
2
×
0
)
+
2
→
y
=
2
So y-intercept is at the point
(
x
,
y
)
=
(
0
,
2
)
For x-intercept set
y
=
0
giving:
0
=
2
x
+
2
Subtract
2
from both sides
0
−
2
=
2
x
+
2
−
2
−
2
=
2
x
+
0
Divide both sides by
2
−
2
2
=
2
2
×
x
But
−
2
2
=
−
1
and
2
2
=
+
1
−
1
=
x
So the y-intercept is at the point
(
x
,
y
)
=
(
−
1
,
0
)
Answer:
ayo ur school name is out here lol
Step-by-step explanation:
The equation of a line that is parallel to 3x=4y and has the same y-intercept as 2x-3y=6 is:
y = (3/4)*x - 2
<h3>
</h3><h3>
How to get the equation of the line?</h3>
A general linear equation is written as:
y = a*x + b
Where b is the y-intercept and a is the slope.
Such that two lines are parallel if the lines have the same slope but different y-intercepts.
So, if we want to have a line parallel to:
3x = 4y
y = (3/4)*x
Then the slope must be 3/4.
And the line must have the same y-intercept than:
2x - 3y = 6.
We can rewrite that to get:
-3y = 6 - 2x
y = (6/-3) + (2/3)*x
y = (2/3)*x - 2
So this linear equation has a y-intercept equal to -2, then our linear equation is:
y = (3/4)*x - 2
If you want to learn more about linear equations:
brainly.com/question/14323743
#SPJ1
