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aivan3 [116]
3 years ago
6

Which equations represents the line that pases through points (1,-5) and (3, -17)?

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
4 0

Answer:

y= -6x +1

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx +c, where m is the gradient (or slope) and c is the y-intercept.

In order to find the equation of a line, you would need 2 things:

① Gradient (← can be found)

② Coordinate (✓ we have 2 coordinates here)

To find the gradient, use the gradient formula below:

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

m =  \frac{ - 5 - ( - 17)}{1 - 3}  \\ m =  \frac{ - 5 + 17}{ - 2}  \\ m =  \frac{12}{ - 2}  \\ m =  - 6

Substitute the value of m into the equation:

y= -6x +c

To find the value of c, substitute a pair of coordinates.

When x=1, y= -5,

-5= -6(1) +c

c -6= -5

c= 6 -5

c= 1

Thus, the equation of the line is y= -6x +1.

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