Write an equation of a line that is parallel to y­9=3.4(x+7) and contains the point (4, ­5).

Parallel lines has equal slopes.

Line y - 9 = 3.4(x + 7) has a slope of 3.4

Required equation is y - 5 = 3.4(x - 4)

Y = mx + b, where m = slope, and b = y-intercept.

Since you are not given the y-intercept, you have to solve for it through the equation, y = -3x (which is the slope you are given) + b, and replace x and y with values given, which are (1,4)

y = -3x + b
4 = -3(1) + b
4 = -3 + b
7 = b

Then replace b in the first equation to get the answer
y = -3x + 7