Answer:
m is slope = (9/6)
b isy-intercept = -2
Explanation:
I will assume that "the value of ?" is meant to read "the value of m?."
The slope-intercept form of a line is y = mx + b, where m is the slope of b is the y-intercept (the value of y when x = 0).
We can caluclate slope from the two given points. Slope is the "Rise/Run" of a line. [The change in y for a change in x].
The two points (-2,-5) and (4,4) can be uysed to calculate the slope.
Rise is the change in y: (4 - (-5)) = 9 [the value of y increased by 9].
Run is the change in x: (4 - (-2)) = 6 [x increased by 6].
Slope is the Rise/Run: (9/6)
This tells us that the rate of change between these points is (9/6). Every change in 6 x units will creat a change of + 9 y units.
The equation for the line connecting these 2 points becomes:
y = (9/6)x + b
In the even the question is looking for the value of b, we can calculate b by entering one of the two points in the equation above:
y = (9/6)x + b
y = (9/6)x + b [for (4,4)]
4 = (9/6)*4 + b
4 = 6 + b
b = -2
The equation connecting thses 2 points is y = (9/6)x - 2
See attached graph