A line passes through the point open paren 4 comma negative 6 close paren and has a slope of negative 3 fourths Which is the equation of the line?

Use the slope-intercept form y = mx + b, where the slope m is −3/4. Substitute the point (4, −6): −6 = (−3/4)(4) + b = −3 + b, so b = −3. The equation is y = −3/4x − 3, which is choice C.

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