Respuesta :

crisforp

We put x = 0; then y = 6; y-ntercept of the line is (0,6).

For the slope: 4y = 24 - 14x; then, y = (-7/2)x + 6; the slope is -7/2.

Answer: (b) -7/2, 6.


Step-by-step explanation: Given equation of the straight line is

[tex]14x+4y=24\\\Rightarrow4y=-14x+24\\\Rightarrow y=-\dfrac{14}{4}x+\frac{24}{4}\\\Rightarrow y=-\dfrac{7}{2}x+6.[/tex]

Comparing the above equation with the slope-intercept form of a straight line given by [tex]y=mx+c,[/tex] we obtain

[tex]m=-\dfrac{7}{2}[/tex]

and

[tex]c=6.[/tex]

Thus, the correct answer is (b) -7/2, 6.


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