Find an equation of the line having a given slope of 3/4 that goes through the point (-8,4).

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We are asked to find the equation of the line with slope `m=3/4` and containing the point (-8,4). Recognize that a line is determined by two points (through two points there is exactly one line.) Also, through two points we can find the slope (if it exists) by using the slope formula: `m=(y_2-y_1)/(x_2-x_1)` . A line is also determined by a point on the line and the slope.

(1) We can find the unique equation of the line in slope-intercept form (y=mx+b.) We substitute the known...

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