Drag and drop numbers into the equation to complete the equation of the line in slope-intercept form. The line passes through (7, 13) and (4,1).
The equation of the line is y =
X +
15
-15
4

y = 4x - 15

Step-by-step explanation:

Find slope (m) using of the line that passes through (7, 13) and (4, 1).

Find y-intercept (b) by substituting x = 4, y = 1, and m = 4 in y = mx + b.

Thus:

1 = (4)(4) + b

1 = 16 + b

Subtract 16 from each side

-15 = b

b = -15

substitute m = 4, and b = -15 in y = mx + b, to get the equation.

The equation of the line would be:

✅ y = 4x + (-15)

y = 4x - 15

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

2/3

step-by-step explanation: