Question

What is the equation, in slope-intercept form, of the line that passes through (0, 3) and has a slope of −6? (5 points) group of answer choices y = 3x + 6

y = 3x − 6 y = −6x − 3
y = −6x + 3

Answer 1

Slope

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Given:

- slope of the line (-6)

- y-intercept of the line (3)

Note: I found the y-intercept by looking at the y-coordinate of the point (0,3). Y-intercepts always have an x coordinate of zero. If a line passes through the point (0,b), the y intercept is b.

Now, we substitute the slope and the y intercept into the slope intercept equation of the line.

The formula for slope intercept is :

y = mx + b

Substitute the values:

(Remember, m = -6 and b = 3)

Result:

y = -6x + 3

Therefore, the equation is y = -6x + 3.

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