Answer :

Answer:

The equation in slope-intercept form:

[tex]y = -3x - 4[/tex]

Step-by-step explanation:

Use the point-slope formula:

[tex]y-y_{1} = m (x-x_{1})[/tex]

Use the given slope [tex]-3[/tex] and point [tex](0,-4)[/tex] for the formula:

[tex]y + 4= -3 (x-0)[/tex]

-Then, you solve the formula:

[tex]y + 4 = -3 (x-0)[/tex]

[tex]y+4 - 4 = -3 (x-0) -4[/tex]

[tex]y = -3x - 4[/tex]

The equation, which is in slope-intercept form:

[tex]y = -3x - 4[/tex]

Answer:

D. y = -3x - 4

Step-by-step explanation:

→You can figure this out by using the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y+4=-3(x-0)[/tex]

→Distribute the -3 to (x - 0):

y + 4 = -3x

→Subtract 4 from both sides:

y = -3x - 4

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