Answer:
y = 3x -4
Explanation:
You want the slope intercept equation representing the relationship between x and y, given (x, y) = (1, -1) and (4, 8).
Slope
The slope can be found using the formula ...
m = (y2 -y1)/(x2 -x1)
m = (8 -(-1))/(4 -1) = 9/3 = 3
Intercept
The y-intercept can be found using the equation ...
b = y1 -m(x1)
b = -1 -3(1) = -4
Slope-intercept equation
The slope-intercept equation of a line has the form ...
y = mx + b
Using the above values of m and b, this becomes ...
y = 3x -4
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Additional comment
Attached is a graph showing the points and the line the equation represents.
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