Answer:
the desired equation is y = x + 4.
Step-by-step explanation:
Slope is defined as m = rise over run. Run is the change (usually an increase) in x, and rise an increase or decrease in y.
We see, in the table, that if x increases from 1 to 6 (a 'run' of 5), y increases from 5 to 10 (a 'rise' of 5). Thus, it's immediately apparent that the slope is m = rise / run = 5 / 5, or just 1.
Using the slope-intercept form of the equation of a straight line, y = mx + b, and the point (1, 5), we calculate b:
5 = 1(1) + b, or b = 4.
Therefore the desired equation is y = x + 4.
I'm OKAY at it, depends on the question
Answer:
40 Minutes.
Step-by-step explanation:
The current time = 4:12 p.M.
Emma's mom will be home from work in 70 minutes.
70 minutes = 1 hour 10 Minutes= 1: 10 Hours

Therefore, Emma's Mom will get home by 5: 22 p.m.
Emma has gymnastics lessons at 6 : 00 p.M.
To determine how much time Emma will have between the time that her mom gets home from work and the beginning of gymnastics lessons, we simply subtract 5:22 from 6.

Emma will have 40 Minutes.
Answer:

Step-by-step explanation:
Each vertical asymptote corresponds to a zero in the denominator. When the function does not change sign from one side of the asymptote to the other, the factor has even degree. The vertical asymptote at x=-4 corresponds to a denominator factor of (x+4). The one at x=2 corresponds to a denominator factor of (x-2)², because the function does not change sign there.
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Each zero corresponds to a numerator factor that is zero at that point. Again, if the sign doesn't change either side of that zero, then the factor has even multiplicity. The zero at x=1 corresponds to a numerator factor of (x-1)².
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Each "hole" in the function corresponds to numerator and denominator factors that are equal and both zero at that point. The hole at x=-3 corresponds to numerator and denominator factors of (x-3).
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Taken altogether, these factors give us the function ...

A- Perpendicular lines have negative reciprocal slopes. Therefore a perpendicular line to 2x-8 will have a slope of -1/2. Once solved in slope intercept form, choice A shows a line of slope -2/4, equivalent to -1/2