Answer:
look at the picture attached
If we find the unit rate for the graph, that means it's proportional. For the first question, we could see that the unit rate is 2/1, so it's proportional.
Well logarithm is basically the inverse of exponentiation.
If you want to know how to calculate it in a calculator first you enter the number that you want in there. Then you press the inverse button and then lastly you press the botton that looks like this 10^3
Y = -2x + 1
y = -2x + 2
y = -2x + 3
these are all parallel lines because they have the same slopes (-2) but different y intercepts.
y = 3x + 4
y = -1/3x + 3
these are perpendicular lines because they have negative reciprocal slopes.
slope of a line parallel to the x axis : If it is parallel to the x axis, it is a horizontal line and has a slope of 0.
slope of a line perpendicular to the x axis : if it is perpendicular to the x axis, it is a vertical line with a slope that is undefined.
slope of line parallel to the y axis : vertical line, undefined slope
slope of a line perpendicular to the y axis : horizontal line, slope of 0
X + 5y = 14
5y = -x + 14
y = -1/5x + 14/5.....the slope here is -1/5. A perpendicular line will have a negative reciprocal slope. All that means is flip the slope and change the sign. So our perpendicular slope will be 5. See how I flipped -1/5 making it -5/1...and then changed the sign, making it 5.
y = mx + b
slope(m) = 5
(-5,-2)....x = -5 and y = -2
now we sub and find b, the y int
-2 = 5(-5) + b
-2 = -25 + b
-2 + 25 = b
23 = b
so ur perpendicular equation is : y = 5x + 23 <==