Question

Graph the line described.
through (0, 4); m = - 1/3

Answer 1

y = -1/3 x + 4

Explanation:

The coordinates show (0,4). Remember that the coordinate is written like (x,y), so you'd just find the point. (Look at attached image⤴⤴⤴)

So now we know the line's y-intercept is 4

(y = mx + b)

m = slope

b = y-intercept

y = -1/3 x + 4 ⬅ Now you can graph the line

(Look at graphed line above⤴⤴⤴)

Hope this makes sense :)

Answer 2

Considering the definition of a line, the graph is attached.

Linear equation

A linear equation o line can be expressed in the form y = mx + b

where

x and y are coordinates of a point.

m is the slope.

b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.

Line in this case

In this case, you know:

• The line has a slope of -1/3.
• The line passes through the point (0, 4).

Substituting the value of the slope m and the value of the point in the expression of a linear equation, y = mx + b, the value of the ordinate to the origin b can be obtained:

4= -1/3×0 + b

4= 0 + b

4= b

Finally, the equation of the line that passes through the point (0, 4) and has a slope of -1/3 is y= -1/3x + 4.

The graph is attached.