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irina [24]
2 years ago
11

Write the equation of a line that passes through the points (-1, -4) and (1, 3).

Mathematics
2 answers:
Elan Coil [88]2 years ago
5 0

Answer:

y=3.5x-.5

Step-by-step explanation:

Anika [276]2 years ago
5 0

Answer:

y=\frac{7}{2} x-\frac{1}{2}

OR

2y=7x-1

Step-by-step explanation:

(-1,-4)  (1,3)

step1: find the gradient m.

m=\frac{y2-y1}{x2-x1}

FOR (-1,-4) -1=x1   and  -4=y1

FOR (1,3)    1=x2   and   3=y2

SO,

m=\frac{3-(-4)}{1-(-1)} =\frac{7}{2}

step2: identify a and b for any point.

I will use (1,3)  1=a   and   3=b

step3: sub the values in the equation y-b=m(x-a) to get the equation of the line.

y-b=m(x-a)

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

(times \frac{7}{2} by the bracket)

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

(add 3 for both sides)

y=\frac{7}{2} x-\frac{1}{2}

the answer is:

y=\frac{7}{2} x-\frac{1}{2}

OR

(you can multiply 2 for both sides to get rid of the fraction)

2y=7x-1

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<h3>How to determine the value of x?</h3>

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