Question

Which of the following equations are linear equations? If an equation is linear, write it in standard form.

2x = 4y
a) Linear
b) Not Linear

6 + y = 8
a) Linear
b) Not Linear

Answer 1

To determine which equations are linear, we need to check if they are in the form y = mx + b. Equation a) 2x = 4y is linear and can be written in standard form as 2x - 4y = 0. Equation b) 6 + y = 8 is not linear as it does not have the slope-intercept form y = mx + b.

Step-by-step explanation:

In order to determine which equations are linear, we need to check if they are in the form y = mx + b, where m is the slope and b is the y-intercept. Let's analyze each equation:

a) 2x = 4y: This equation is linear. To write it in standard form, we need to rearrange the terms: 2x - 4y = 0.

b) 6 + y = 8: This equation is not linear because it does not have the form y = mx + b. It can be simplified to y = 2, but it does not have the slope-intercept form.

Therefore, the answer is:
a) Linear
b) Not Linear