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Answer:
C, (1,0)
Explanation:
A perpendicular line is when 2 lines cross each other with right angles, which are 90⁰ angles. Two lines are only perpendicular when the lines slopes are negative reciprocals to each other.
To find the slope of the first graph use, (y2-y1)/(x2-x1)
This is, 2-0/4+4
2/8
1/4 is the slope for the first line.
The negative reciprocal of this is -4.
We are also looking for a point on the x axis, so this eliminates answer choice A, and B, because they aren't even on the x axis.
When you test out answer choice c it will show that,
-4-0/2-1=-4/1 which is just -4.
These points on line p will pass each other when you add +4, y=-4x+4. So because of both of these lines negative reciprocating slopes, it shows that it will be answer C.
Answer:
y=x+3
Explanation:
Distance between point and y-axis at (-1,2) = 1 (drawing this out might help you see this)
Slope at point (-1,2) = (1)^2 = 1
Equation of function: y-y1=m(x-x1), substitute (-1,2) into x1 and y1, slope/m=1
y-2=1(x-(-1))
y=x+3