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Juliette [100K]

2 years ago

7

A line passes through (−1, 7) and (2, 10). which answer is the equation of the line?

1 answer:

mart [117]2 years ago

6 0

First you need to find the slope of the line. So what you need to do is y^2-y^1 / x^2-x^1

(x^1, y^1) (x^2, y^2)
( -1, 7) ( 2, 10)

10-7/ 2- (-1)
3/3=1
slope is 1

I got 8 as the y intercept. Reason how is that I made a table. And what I did was go back instead of going forward.

x y
-1 7
0 8
1 9
2 10

The answer would be x= 1 y= x + 8 y=8 But the answer choice you listed for A. would not match up the 2 coordinate you gave. Make sure a. should be x= 1 y= x + 8 y=8, not -x y= 8-x y=8

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A number y increased by 5 is at least -21

gayaneshka [121]

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$\diamond\large\blue\textsf{\textbf{\underline{\underline{Given question:-}}}}$

❖ A number y increased by 5 is at least -21.

$\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}$

❖ First, if you come across the word "increased" it means we

"increase" a number, or add something to that number, like

y increased by 5 $\longmapsto$ $\sf{y+5}$

Now, we are also given that this expression is at least -21, which means it can't be -21; it can be -21 or it can be greater than -21.

So we have

$\longmapsto\sf{y+5\geq -21}}$

<em>Solving for y</em>

<em></em>

Subtract 5 on both sides:-

$\longmapsto\sf{y\geq -21-5}$

$\longmapsto\sf{y\geq -26}$

So the values of y greater than or equal to -26 will make this inequality true.

<h3>Good luck with your studies.</h3>

$\rule{300}{1}$

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Read 2 more answers

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Elena L [17]

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