Question

Find the slope and y-intercept of the line. 14x + 4y = 24

a)14;24

b)-7/2;6

c)-2/7;6

d)-7/2; 1/6

Answer 1

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 2

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

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

`14x+4y=24\\\Rightarrow4y=-14x+24\\\Rightarrow y=-(14)/(4)x+(24)/(4)\\\Rightarrow y=-(7)/(2)x+6.`

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

`m=-(7)/(2)`

and

`c=6.`

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