<h3>Answer 1:</h3><h2>1. TH</h2>
Explanation:
<h2>
y = - 4x + 3</h2>
Using the slope intercept form:
y = mx + b
Where,
m = slope = rise / run
b = y-intercept (point where the graph crosses the y-axis.
Here, the y-intercept is 3. Which means our first point is (0,3). We will now find the second point of the line and join them using a straight line.
Starting from (0,3), moving 4 units down and 1 unit to the right we will reach (1,-1).
Hence the two points (0,3) and (1,-1) will be connected with each other using a straight line.
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<h3>Answer 2:</h3><h2>2. YO</h2>
Explanation:
<h2>
y = 6x - 5</h2>
Using the slope intercept form:
y = mx + b
Where,
m = slope = rise / run
b = y-intercept (point where the graph crosses the y-axis.
Here, the y-intercept is -5. Which means our first point is (0,-5).
Starting from (0,-5), moving 6 units up and 1 unit to the right we will reach (1,1).
Hence the two points (0,-5) and (1,1) will be connected with each other using a straight line.
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<h3>Answer 3:</h3><h2>
3. OU</h2>
Explanation:
<h2>
y = -x - 2</h2>
Using the slope intercept form:
y = mx + b
Where,
m = slope = rise / run
b = y-intercept (point where the graph crosses the y-axis.
Here, the y-intercept is -2. Which means our first point is (0,-2).
Starting from (0,-2), moving 1 units down and 1 unit to the right we will reach (1,-3).
Hence the two points (0,-2) and (1,-3) will be connected with each other using a straight line.
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<h3>Answer 4:</h3><h2>4. IS</h2>
Explanation:
<h2>
y = -1/2x</h2>
Using the slope intercept form:
y = mx + b
Where,
m = slope = rise / run
b = y-intercept (point where the graph crosses the y-axis.
Here, the y-intercept is 0. Which means our first point is (0,0).
Starting from (0,0), moving 1 units down and 2 units to the right we will reach (2,-1).
Hence the two points (0,0) and (2,-1) will be connected with each other using a straight line.
See the graph in the attachment.
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<h3>
Answer 5:
</h3><h2>5. AD
</h2>
Explanation:
<h2>y = 2/3x + 1</h2>
Using the slope intercept form:
y = mx + b
Where,
m = slope = rise / run
b = y-intercept (point where the graph crosses the y-axis.
Here, the y-intercept is 1. Which means our first point is (0,1).
Starting from (0,1), moving 2 units up and 3 units to the right we will reach (3,3).
Hence the two points (0,1) and (3,3). will be connected with each other using a straight line.
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<h3>
Answer 6:
</h3><h2>6. EB</h2>
Explanation:
<h2>y = 7/2x - 4</h2>
Using the slope intercept form:
y = mx + b
Where,
m = slope = rise / run
b = y-intercept (point where the graph crosses the y-axis.
Here, the y-intercept is -4. Which means our first point is (0,-4).
Starting from (0,-4), moving 7 units up and 2 units to the right we will reach (2,2).
Hence the two points (0,-4) and (2,2). will be connected with each other using a straight line.
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<h3>
Answer 7:
</h3><h2>7. NH</h2>
Explanation:
<h2>y = -5/4x + 2</h2>
Using the slope intercept form:
y = mx + b
Where,
m = slope = rise / run
b = y-intercept (point where the graph crosses the y-axis.
Here, the y-intercept is 2. Which means our first point is (0,2).
Starting from (0,2), moving 5 units down and 4 units to the right we will reach (4,-3).
Hence the two points (0,2) and (4,-3). will be connected with each other using a straight line.
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<h3>
Answer 8:
</h3><h2>8. NT</h2>
Explanation:
<h2>y = -8/3x + 4</h2>
Using the slope intercept form:
y = mx + b
Where,
m = slope = rise / run
b = y-intercept (point where the graph crosses the y-axis.
Here, the y-intercept is 4. Which means our first point is (0,4).
Starting from (0,4), moving 8 units down and 3 units to the right we will reach (3,-4).
Hence the two points (0,4) and (3,-4). will be connected with each other using a straight line.
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<h3>
Answer 9:
</h3><h2>9. HE</h2>
Explanation:
<h2>y = 2/5x - 4</h2>
Using the slope intercept form:
y = mx + b
Where,
m = slope = rise / run
b = y-intercept (point where the graph crosses the y-axis.
Here, the y-intercept is -4. Which means our first point is (0,-4).
Starting from (0,-4), moving 2 units up and 5 units to the right we will reach (5,-2).
Hence the two points (0,-4) and (5,-2). will be connected with each other using a straight line.
See the graph in the attachment.