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kicyunya [14]
3 years ago
12

What is the equation of the lines that passes through the points (-2, -3) and (4, -5)?

Mathematics
1 answer:
antoniya [11.8K]3 years ago
6 0
Since all the options are in the slope intercept form, we find the equation using the formula,

y = mx + c
We can find m, the slope using the formula,

m = \frac{ change \: in \: y }{change \: in \: x}
m = \frac{ - 5 - - 3}{4 - - 2}
m = \frac{ - 2}{6} = - \frac{1}{3}

On substitution,

y = - \frac{ 1}{3} x + c

We use any of the points, say (-2,-3) to determine the value of c.

- 3 = - \frac{1}{3} ( - 2) + c
c = - \frac{11}{3}

The equation is therefore,

y = - \frac{1}{3} x - \frac{11}{3}

The correct answer is D.
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