Does the point (5 6) satisfy the equation y = 2x - 7

Mathematics

1 answer:

Aleks04 [339]2 years ago

5 0

Answer: No

Step-by-step explanation: To determine this, all we have to is plug our ordered pair into the equation for x and y.

Remeber that the first number is our x-coordinate and our second

number is our y-coordinate so we plug a 5 in for x and a 6 in for y.

So we have (6) = 2(5) + 7 or 6 = 10 + 7 or 6 = 17.

Since this is not a true statement, this point doesn’t satisfy the equation.

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Write the equation of a line that passws through the point (1,7) and is perpendicular to y=1/2x-5

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$y=-2x+5$

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For one line to be perpendicular to another, their slopes must multiply to -1. So, we really want the line with slope $-1/(1/2)$ = -2$ that passes through the point $(1, 7)$ .

Recall the point-slope form of a line. If you have a point $(x_{1}, y_{1})$ and a slope $m$ , the line through that point with the given slope is $y-y_{1}=m(x-x_{1})$ . Plugging in our given point and slope gives our line: $y-7=-2(x-1)$ (point-slope form).