Question

the line shown can be represented by the equation 8x + 7y = 56. which of the following points lies on this line? (a) (0,0) (b) (0,8) (c) (0,10) (d) (0,56)

Explanation:

Step1: Substitute x = 0 and y = 0 into the equation

Substitute \(x = 0\) and \(y=0\) into \(8x + 7y=56\). We get \(8\times0+7\times0=0
eq56\).

Step2: Substitute x = 0 and y = 8 into the equation

Substitute \(x = 0\) and \(y = 8\) into \(8x+7y = 56\). Then \(8\times0+7\times8=56\), which holds true.

Step3: Substitute x = 0 and y = 10 into the equation

Substitute \(x = 0\) and \(y = 10\) into \(8x + 7y=56\). We have \(8\times0+7\times10 = 70
eq56\).

Step4: Substitute x = 0 and y = 56 into the equation

Substitute \(x = 0\) and \(y = 56\) into \(8x+7y=56\). We get \(8\times0+7\times56=392
eq56\).

Answer:

B. (0, 8)