A linear equation in point-slope is written as:
y - h = a*(x - k)
While the slope-intercept form is:
y = a*x + b
where a is the slope and b is the y-intercept.
We will find that the correct option is B: y = -2*x + 7/6
We start with:
y - 2/3 = -2*(x - 1/4)
And we want to rewrite this in the slope-intercept form.
First, we can distribute the product at the right:
y - 2/3 = -2*x + 2/4
Now we can add 2/3 in both sides to get:
y = -2*x + 2/4 + 2/3 = -2*x + 6/12 + 8/12
y = -2*x + 14/12
Simplifying the y-intercept we get:
y = -2*x + 7/6
Then the correct option is B: "-2*x + 7/6"
If you want to learn more, you can read:
https://brainly.com/question/12763756
