Question

Rewrite the following equation in slope-intercept format14x+13y=14

Answer 1

Given the equation:

`\text{ 14x + 13y = 14}`

Rewriting the equation into a slope-intercept format means transforming the equation into a

y = mx + b form.

We get,

`\text{ 14x + 13y = 14}`
`\text{ 14x + 13y - 14x = 14 - 14x}`
`\text{ 13y = 14 - 14x }\rightarrow\text{ 13y = -14x + 14}`
`\text{13y = -14x + 14}`
`\frac{\text{13y}}{13}\text{ = }\frac{\text{-14x + 14}}{13}`
`\text{ y = -}\frac{\text{14}}{13}x\text{ + }\frac{\text{14}}{13}`

Therefore, the slope-intercept form of the equation 14x + 13y = 14 is:

`\text{ y = -}\frac{\text{14}}{13}x\text{ + }\frac{\text{14}}{13}`