Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the given equation. (0,2); y=-5x + 8

y=-5x+2

Step-by-step explanation:

its that because if the lines are parallel then they have the same slope. and it alr gives you the y intercept so just put it together

g(x) = 3/2 x + 9

Step-by-step explanation:

h(x) = -2/3 x - 1

perpendicular lines always have the opposite sign, reciprocal slope

so, the slope of the perpendicular line would be: m = 3/2

y = mx + b

y = 3/2 x + b

plug in (-4, 3) to find b

3 = 3/2 (-4) + b

3 = -6 + b

b = 9

y = 3/2 x + 9

g(x) = 3/2 x + 9