To derive the equation of the line in slope-intercept form, we need to find the slope and the y-intercept.
Given the points (1, 3) and (0, -2), we can find the slope using the slope formula:
slope = (change in y)/(change in x) = (3 - (-2))/(1 - 0) = (3 + 2)/(1) = 5/1 = 5
Next, we can use the slope-intercept form of a line, y = mx + b, where m is the slope and b is the y-intercept.
Substituting the given slope of 5 and the coordinates of one point (1, 3) into the equation, we can solve for b:
3 = 5(1) + b
3 = 5 + b
b = 3 - 5
b = -2
Therefore, the equation of the line in slope-intercept form is y = 5x - 2.
(1, 3) (0, -2) use that graph to derive the equation of the line in slope-intercept form.
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