Question

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

Answer 1

y = -4/6x - 4

Explanation:

y = m(x - x₁) + y₁

You're given m=-4/6 and (0,-4) ←x₁=0, y₁=-4

so just plug it into the point-slope equation.

y = (-4/6)(x - (0)) + (-4)

y = (-4/6)(x) + (-4)

y = -4/6x - 4

Answer 2

Answer:y = -4x/6 - 4

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