Respuesta :

Answer:y=3/7x+3 since 3 is the y intercept and you have to hit the positive 7 in the x intercept.

Step-by-step explanation:

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

[tex]y = mx + b[/tex]

Where:

m: It's the slope

b: It is the cutoff point with the y axis

Having two points, we can find the slope:

[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}\\(x_ {1}, y_ {1}) = (0,3)\\(x_ {2}, y_ {2}) = (7,0)[/tex]

Substituting:

[tex]m = \frac {0-3} {7-0} = - \frac {3} {7}[/tex]

We have an equation of the form:

[tex]y = - \frac {3} {7} x + b[/tex]

We substitute a point to find "b":

[tex]3 = - \frac {3} {7} (0) + b\\3 = b[/tex]

Finally, the equation is:

[tex]y = - \frac {3} {7} x + 3[/tex]

Answer:

Option C

ACCESS MORE