Write an equation in point-slope form of the line that passes through the point (4,−9) and has a slope of 6.

y + 9 = 6(x - 4)

the equation of a line in point-slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = 6 and (a, b) = (4, - 9)

y + 9 = 6(x - 4) ← in point-slope form

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

what are the options? ?

step-by-step explanation: