2 Answers

Yuraj · Answer 1 · 2020-09-03T05:36:48+0000

For this case, we must find the equation of the line that passes through the given points. The equation is of the form:

y = mx + b

Where:

m: It's the slope

b: It is the cutoff point with the y axis

Having two points, we can find the slope:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}\\(x_ {1}, y_ {1}) = (0,3)\\(x_ {2}, y_ {2}) = (7,0)$

Substituting:

$m = \frac {0-3} {7-0} = - \frac {3} {7}$

We have an equation of the form:

$y = - \frac {3} {7} x + b$

We substitute a point to find "b":

$3 = - \frac {3} {7} (0) + b\\3 = b$

Finally, the equation is:

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

Answer:

Option C

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