Answer:
a) y = x
b) y = 10
c) x = 3
Step-by-step explanation:
a) the line passes through the points (-5, -5) and (1, 1).
Step 1. Identify the slope
M = slope
M = change in y/change in x
Two points: (-5, -5) & (1, 1)
M = (y2 - y1)/(x2 - x1)
where y2 = 1 y1 = -5 x2 = 1 & x1 = -5
M = (1 - -5)/(1 - -5)
Note: Two negative signs together makes addition!
M = 6/6
M = 1
Step 2. Find the y-intercept
The slope is 1 but then we need a y-intercept. To do this we have to take a look when the first y-intercept happened.
Answer: y-intercept undefined so therefore our final answer is y = x
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b) the line that passes through (-2, 10) and (3, 10).
If we would’ve graphed this, we can see that they’re in line with the y-axis so there wouldn’t be any slope.
Step 1. Find the slope.
M = slope
M = change in y/change in x
Two points: (-2, 10) & (3, 10)
M = (y2 - y1)/(x2 - x1)
M = (10 - 10)/(3 - -2)
M = 0/5
M = 0
Therefore the slope is 0
Step 2. Find the y-intercept
And the y-intercept is 10 obviously so now our answer would be y = 10
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c) the line parallel to the y-axis that passes through the point (3, -7)
Equation of line parallel to y-axis is x = k
(3, -7) lies on our required line
-> k = 3
The equation of the required line is x = 3
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d) & e)
I don’t know the answer to the rest I’m sorry but at least appreciate these 3 answers that I’m giving you
Have a good day!
-Unluckydoom
