Question

Write an equation of the line that passes through (3,7) and is parallel to the line shown.

An equation of the parallel line is y=__.

Answer 1

at first we should find the equation of this line so we should find a in the equation of y = a x + b and we do not care about b as it is parallel so a = ( (4 -(-2)) ÷ 1 -(-2)) = 2 so y = 2 x + b and we put x = 3 and y = 7 the result is 7 = 2×3 + b and b = 7 - 6 = 1 the equation is y = 2x + 1