The equation in the slope-intercept form is:
y = (1/2)*x + 3
<h3>
How to write the equation?</h3>
A general linear equation is:
y = a*x + b
Where a is the slope and b is the y-intercept.
To get the slope, we need two points on the line, by using the graph we can identify the points: (0, 3) and (2,4)
Then the slope is:

And we also can see that the y-intercept is y = 3, because of the point (0,3)
Then the line is:
y = (1/2)*x + 3
If you want to learn more about lines you can read:
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The side of the small triangle that will correspond to the side of HI is side IK.
<h3>How to find corresponding side of similar triangles?</h3>
Similar triangles are triangles that have the same shape but different size.
In similar triangles, corresponding sides are always in the same ratio.
The corresponding angles are equal.
Therefore, the side of the small triangle that will correspond to the side of HI is side IK.
learn more on triangle here: brainly.com/question/26531534
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Answer:
Step-by-step explanation:
I will translate your language and possibly help you in the comments.. Give me a moment.
<em>Solid transformation</em> is a <u>method</u> that requires a change in the <u>length </u>of sides of a given shape or a change in its <em>orientation</em>. Thus the required <u>answers</u> are:
i. Yes, line <em>segment</em> AB is <em>the same</em> as line <u>segment </u>CD.
ii. This implies that <u>translation</u> does not affect the<u> length </u>of a given<u> line,</u> but there is a change in its <em>location</em>.
<em>Solid transformation</em> is a <u>method</u> that requires a change in the <u>length </u>of sides of a given shape or a change in its <em>orientation</em>. Some types of <em>transformation</em> are reflection, translation, dilation, and rotation.
- <u>Dilation</u> is a method that requires either <u>increasing</u> or <u>decreasing</u> the <em>size</em> of a given <u>shape</u>.
- <u>Translation</u> is a process that involves moving <em>every point </em>on the <u>shape</u> in the same <u>direction</u>, and the same <u>unit</u>.
- <u>Reflection</u> is a method that requires <em>flipping</em> a given <u>shape</u> over a given reference<u> point</u> or<u> line.</u>
- <em>Rotation</em> requires <u>turning</u> a given <em>shape</em> at an <u>angle</u> about a given reference <u>point</u>.
Thus in the given question, <u>translation</u> would not affect the <u>length</u> of <em>line</em> <em>segment</em> AB, thus <em>line segment</em> AB and CD are the same. Also, A <u>translated</u> <em>line segment</em> would have the same <u>length</u> as its object, but at another <u>location</u>.
For more clarifications on translation of a plane shape, visit: brainly.com/question/21185707
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