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LekaFEV [45]
3 years ago
5

What is the slope of a line that contains the points (8-,4) and (10,-2)

Mathematics
1 answer:
erastova [34]3 years ago
5 0
m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{-2 - (-4)}{10 - 8} = \frac{-2 + 4}{2} = \frac{2}{2} = 1

   y - y₁ = m(x - x₁)
y - (-4) = 1(x - 8)
   y + 4 = 1(x) - 1(8)
   y + 4 = x - 8
       - 4       - 4
         y = x - 12
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Please help explanation if possible
posledela

Answer:

y =3x - 5

Step-by-step explanation:

Well one of the way to do this question is the formula given below your question, but for me, i rather do it this way

OK they gave u y=3x - 12

And they say another line is parallel, once u see the word parallel means they have the same angle, same slope, same gradient ( sorry if I give u the wrong terms, since I learn mine in Malay)

So first u got to understand the slope-intercept form

y = mx + c

y is your y coordinate

x is your x coordinate

m is your gradient ( as in how much the line slants)

c is the y - intercept, as in, if u draw a graph, the y-coordinate where your line touches the y-axis (the vertical line)

So since the say the both lines are parallel, so both of their "m" is the same that is 3. Why? Cuz just compare

y = mx + c

y = 3x - 12

Therefore the m is 3

Therefore u alredy got your first value, so put it in your slope intercept form

y = mx + c

y = 3x + c

Now how to find c? Very easy, just put in the value of y and x from the coordinate ( that the line youre finding is on) they gave u, just put the value in

They gave u

(1, - 2)

So when x = 1, y = - 2

Therefore put it in

y = 3x + c

-2 = 3 (1) + c

c = - 5

Since now u have your m and c value, your slope intercept form is done, just put it in

y = mx + c

y = 3x + (-5)

y = 3x -5

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