Find the equation in slope-intercept form that describes each line through (2, -3)
and (7,9)

Step-by-step explanation:

The slope-intercept from of an equation of a line:

m - slope

b - y-intercept

The formula of a slope:

(x₁, y₁), (x₂, y₂) - ponts on a line

We have two points (7, 9) and (2, -3).

Substitute:

Put the value of the slope and the coordinates of the point (7, 9) to the equation of a line:

            subtract 16.8 from both sides

Finally we have:

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.