What is the equation, in slope-intercept form, of the line that passes through (0, −2) and has a slope of −3?

Mathematics

2 answers:

Julli [10]3 years ago

4 0

Answer:

y= -3x-2

Step-by-step explanation:

Mumz [18]3 years ago

4 0

Answer:

y = -3x - 2

Step-by-step explanation:

Slope intercept form: y = mx + b.

Note that: (x , y) = (0 , -2) & m (slope) = -3

Plug in the corresponding numbers to the corresponding variables:

-2 = (-3)(0) + b

Simplify. Solve for b.

-2 = 0 + b

b = -2

Plug in -3 for m (given) & -2 for b (the answer we got) to the original form:

y = -3x - 2 is your answer

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The slope of this line is the difference of the y values divided by the difference of the x values. Solving this give 4/-3. Then, you already know the b in y = mx+b, which is 2, because you already have the value (0, 2). So, the answer is y = $-\frac{4}{3}$ x + 2