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What is the slope-intercept form of a line that contains the point (0,3) and a slope=-2

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What is the slope-intercept form of a line that contains the point (0,3) and a slope-example-1

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Answer:

C. y = -2x + 3

Explanation:

The equation of a line in slope-intercept form is given as y = mx + b.

m = slope, while b = y-intercept.

We already know that the slope, m, = -2.

We are given a point also as (0, 3). This means, at x = 0, y = 3.

Therefore, the y-intercept, b, = 3, because, the line would intercept the y-axis of the graph at y = 3, and at that point, x = 0.

Thus,

Slope (m) = -2,

y-intercept (b) = 3

Plug these values into y = mx + b

✅The equation of the line in slope-intercept form would be:

y = -2x + 3

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