Question

Find the slope and the y-intercept of the line.
Y=2-1/3x

Answer 1

Slope: -1/3

Y-intercept: 2

Step-by-step explanation:

The equation y = 2 - 1/3x is in slope-intercept form.

The format of slope intercept is y = mx + b, where m = slope and b = y-intercept.

The slope is the coefficient of x.

Hence, the slope of y = 2 - 1/3x is -1/3.

As for the y-intercept, that is the constant.

The constant in y = 2 - 1/3x is 2. Hence, the y-intercept is 2.

Answer 2

Answer:-

Slope:- -1/3

y-intercept:- 2

Solution:-

• The equation of the line is written in slope-intercept form, which looks like this:- y=mx+b.
• In this formula, m stands for the slope, and b stands for the y-intercept of the line.
• In this case, the equation looks like this:- y=b+mx
• However, it does not matter. m is still the slope and b is still the y-intercept.
• Also, you should notice that the slope is the coefficient of x (the number next to x) and b is the constant (a number added/subtracted to/from the slope)
• Therefore, the slope of the line is equivalent to:-
• -1/3
• And the y-intercept is equivalent to the following:-
• 2

Hope it helps.

Do comment if you have any query.