Take away the bottom equation from the top so the y’s cancel out
3x = -24
x therefore = -8
and put x back into the equation to find out y
2(-8) + y= 32
-16 + y =32
y= 48

6 0

3 years ago

Write a linear equation that passes through the two points (-6, -7) and (3, -4).

Phantasy [73]

linear equation that passes through the two points (-6, -7) and (3, -4) is $y=\frac{1}{3}x-5$

Step-by-step explanation:

We need to write the equation that passes through the two points (-6, -7) and (3, -4).

The equation can be written is point slope form.

The standard form of point slope equation is:

$y=mx+b$

where m is the slope and b is the y-intercept

Finding slope m:

Slope can be found by using formula:

$slope = \frac{y_{2}-y_{1}}{x{2}-x_{1}} \\Where\,\, y_{2}=-4,y_{1}=-7,x{2}=3,x_{1}=-6\\slope =\frac{-4-(-7)}{3-(-6)}\\slope=\frac{-4+7}{3+6}\\slope=\frac{3}{9}\\slope=\frac{1}{3}$

So, slope is $\frac{1}{3}$

Now finding y-intercept b

Putting slope $\frac{1}{3}$ and point(-6,-7)

$y=mx+b\\x=-6,y=-7,m=\frac{1}{3} \\-7=\frac{1}{3}(-6)+b\\-7=-2+b\\b=-7+2\\b=-5$

So, value of b is -5

Putting values to find the equation:

$y=mx+b\\m=\frac{1}{3} and b=-5\\y=\frac{1}{3}x-5$

So, linear equation that passes through the two points (-6, -7) and (3, -4) is $y=\frac{1}{3}x-5$

Keywords: Linear Equation,

Learn more about Linear Equation at:

#learnwithBrainly

5 0

3 years ago

15. How would .89 be put as a fraction?

NikAS [45]

Answer:

0.89 as a fraction would equal: $\frac{117}{500}$

0.234 as a fraction would equal: $\frac{117}{500}$

0.6 as a fraction would equal: $\frac{6}{10}$

3 0

3 years ago

The store offers a 40% discount. If the regular price of a t-shirt is $21, what is the discount price?

goldenfox [79]

Answer:

$8.40

Step-by-step explanation:

to find discount you use part=%(whole) so you are looking for your part but know the % and whole so you do x=40%(21) and 40%, or 0.4, times 21 is 8.4 so thats your part, 8.4 is 40% of 21 and thats how much youll pay

3 0

3 years ago

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