Answer:
An equation relating x and y is:
y = 3/4x - 5.5
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
Given the points
(2, -4), (x, y), A(6, -1), and B(10, 2)
Taking any two points let say A(6, -1), and B(10, 2) to determine the slope
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(6,\:-1\right),\:\left(x_2,\:y_2\right)=\left(10,\:2\right)[/tex]
[tex]m=\frac{2-\left(-1\right)}{10-6}[/tex]
Refine
[tex]m=\frac{3}{4}[/tex]
We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = -5.5
Thus, the y-intercept b = -5.5
Thus, substituting b = -5.5 and m = 3/4 in the slope-intercept form of the line equation
y = mx+b
y = 3/4x + (-5.5)
y = 3/4x - 5.5
Therefore, an equation relating x and y is:
y = 3/4x - 5.5
