Write an equation that represents the line (-2,1) and (4,6)

y - 6 = (5/6)(x - 4)

Step-by-step explanation:

Write an equation that represents the line through the points (-2,1) and (4,6)

As we move from (-2, 1) to (4, 6), x increases by 6 and y increases by 5.

Thus, the slope of the line connecting these two points is m = rise/run = 5/6.

Using (4, 6) as one point on the line, the equation of the line in point-slope form is

y - 6 = (5/6)(x - 4)

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

your answer is b ^w^ hope i