Write an equation in slope-intercept form of the line having the given slope and y-intercept. m:-4/6, (0,-4)

Answer:y = - 4x/6 - 4

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)

The slope, m of the given line is - 4/6

To determine the intercept, we would substitute m = - 4/6, x = 0 and y = - 4 into y = mx + c. It becomes

- 4 = - 4/6 * 0 + c = 0 + c

c = - 4

The equation becomes

y = - 4x/6 - 4