Write the slope-intercept form of the equation passing through the points (-3, 4) and (3, 6). In the dropbox, select CREATE POST and write your answer.
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the slope intercept form of the equation of a line is of the form:
y = mx + b
where m is the slope and b is the y-intercept.
m = (y2 - y1)/(x2 - x1) = (6 - 4)/(3 + 3) = 2/6 = 1/3
now we can start with the point-slope form and simplify to the slope intercept form. by the point slope form, using m = 1/3 and (x1,y1) = (3,6), we have
y - y1 = m(x - x1)
=> y - 6 = (1/3)(x - 3)
=> y = (1/3)x - 1 + 6
=> y = (1/3)x + 5 ...................slope intercept form