Question

Which one is correct

Answer 1

Step-by-step explanation:

A line can be repsented by slope-intercept form:

$y = mx + b$

where $m$ is the slope of the line and $b$ is the y-intercept.

The slope of the line is represented by the change in the $y$ values on the line divided by the change in the $x$ values on the line, or, simply put,

$\frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

for any two points $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ that are on the line.

Taking any two points on the given line, we can see that the slope of the above graph is $1$, so we can plug this in for $m$:

$y = x + b$

This eliminates options C and D.

Now, the y-intercept is the point at which the line crosses the y-axis, or, simply put, what the value of the line is at $x = 0$.

Looking at the line, it crosses the y-axis at $(0, 6)$, meaning we can plug in $6$ for $b$ in our equation and get our answer:

$y = x + 6$

Answer 2

Answer:

B y = x+6

Step-by-step explanation:

The line shown has a y intercept of 6 since it crosses the y axis at 6

The only equation that has a y intercept of 6 is

B y = x+6