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A line has a slope of – 4 3 and a y-intercept of 9. Write its equation in slope-intercept form.

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Final answer:

To write the equation of a line with a slope of − 4/3 and a y-intercept of 9 in slope-intercept form, the equation is y = − 4/3x + 9.

Step-by-step explanation:

The student is asking about writing the equation of a line in slope-intercept form. The slope-intercept form is given by y = mx + b, where m represents the slope of the line, and b is the y-intercept. Since the slope of the line is − 4/3, and the y-intercept is 9, we can substitute these values directly into the slope-intercept form.

The resulting equation is y = − 4/3x + 9.

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