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Nadya [2.5K]
3 years ago
5

Will give Brainliest !! ANSWER 13,14 and 19!

Mathematics
1 answer:
pav-90 [236]3 years ago
6 0

Answer:

13 1 line

14 2/3 1/2

19 top 123 bottom 4

Step-by-step explanation:

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Find the equation, in slope-intercept form, of the line through the pair of points
ZanzabumX [31]

Answer:

y=-\frac{3}{2}x+\frac{7}{2}

Step-by-step explanation:

We do not have enough information for slope intercept form. But we can use the point-slope formula to find the information. The formula is y -y_{1} =m(x -x_{1}) where we substitute a point (x,y) for (x_{1},y_{1}).  

We do not have m for the slope. But we do have (1,-2) and (-3, 4). We input the points for x_{1} =1\\y_{1}=-2 and x=-3\\y=4.  

(4-(-2))=m (-3-1)

We now simplify the parenthesis and solve for m.

(4+2)=m (-3+-1)\\6=m(-4)=

We divide by -4 on both sides and find m=-\frac{6}{4} =-\frac{3}{2}. We substitute m into the point slope form with one coordinate pair.

y-(-2)=-\frac{3}{2}(x-1)\\y+2=-\frac{3}{2}(x-1)\\y+2=-\frac{3}{2}x+\frac{3}{2}\\y+2-2=-\frac{3}{2}x+\frac{3}{2}-2\\y=-\frac{3}{2}x+\frac{3}{2}+\frac{4}{2} \\y=-\frac{3}{2}x+\frac{7}{2}

After simplifying the parenthesis, we subtracted 2 from both sides. We converted 2 into a fraction with 2 as the denominator.

This is slope intercept formy=-\frac{3}{2}x+\frac{7}{2}. The line has slope -3/2 and y-intercept (0,7/2) or b=7/2.

5 0
3 years ago
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