Question 755766
Q:
Find the value of y if the line passing through (1/2,y) and (-3,-10/9) has a slope of 2/7.
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A:
slope, m = {{{(-10/9 - y)/(-3 - 1/2)}}} = 2/7
{{{(-10/9 - y)}}} = {{{(2/7)(-3 - 1/2)}}}, multiply both sides by -1
{{{(10/9 + y)}}} = {{{(2/7)(3 + 1/2)}}}
y = {{{(2/7)(3 + 1/2) - 10/9}}} = {{{highlight(-1/9)}}}