Aline goes through the points (8,9) and (-2,4). (a) what is the slope of the line? show your work (b) write the equation of the line in point-slope form. show your work (c) write the equation of the line in slope-intercept form. show your work.

(a) Slope of line:We are given two points: (8,9) and (-2,4)Slope of line is calculated using the following rule:m = (y2-y1) / (x2-x1) where:y2 = 4, y1=9, x2=-2 and x1=8Therefore:slope of line = m = (4-9) / (-2-8) = 0.5
(b) Equation of line in point-slope form:point-slope equation has the general formula: y-y1=m(x-x1)  where x1 and y1 are the coordinates of a given point on the line.Choose any point that belongs to your line, let's say we'll take (8,9). Substitute with the values in the equation as follows:y-9 = 0.5(x-8)Note: You can write the equation using the other point. It will be also correct.
(c) Equation of line in slope-intercept form:slope-intercept equation has the general formula: y = mx+c where c is the y-interceptwe have calculated m to be 0.5.Choose any point that belongs to the line and substitute in the general equation to get c. Let's choose (-2,4) this time. Therefore:y = mx+c4 = 0.5(-2) + c4 = -1 + cc = 5The equation of the line is:y = 0.5x +5

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