Question 447233
The equation {{{y = (3/4)x + 2}}} is in y = mx + b form where m is the slope and b is the y-intercept. In this case, the slope is {{{3/4}}}. Parallel lines have the same slope; therefore, the equation has a slope of {{{3/4}}}. Then, use point-slope form, which is used to find the the equation of a line if you know its slope and one of its points. Point-slope form follows the equation {{{y - y[1] = m(x - x[1])}}}, where {{{y[1]}}} is the y-coordinate of the point you know, m is the slope, and {{{x[1]}}} is the x-coordinate of the point you know. 

==> You know that m = {{{3/4}}}, {{{x[1]}}} is -2, and {{{y[1]}}} is 8.
==> {{{y - y[1] = m(x - x[1])}}}
==> {{{y - 8 = (3/4)(x - (-2))}}}
==> Simplify: {{{y - 8 = (3/4)(x + 2)}}}
==> Distribute {{{3/4}}} into the x and 2: {{{y - 8 = (3/4)x + 3/2}}}
==> Add 8 to both sides: {{{y - 8 = (3/4)x + 3/2 + 8}}}
==> Find the least common denominator between 3/2 and 8: {{{y = (3/4)x + 3/2 + 16/2}}}
==> Add 3/2 and 16/2: {{{y = (3/4)x + 19/2}}}
***Therefore, the equation of the line is {{{y = (3/4)x + 19/2}}}