The y - intercept of the linear function represented by the graph is 10 and the complete function is y = 2x + 10.
Linear equation of the graph
The linear equation of the graph is calculated as follows;
y = mx + c
where;
m = Δy/Δx
- choose any two corresponding points from the graph
m = (4 - 0)/(5-3)
m = 2
y = 2x + c
at point where, x = 0 and y = ?
The y-intercept can be obtained by extrapolating the line
y - axis -------------------- x - axis
c --------------------------- 0
4 ------------------------ 3
2 ------------------------- 4
(4 - c)/(4 - 2) = (3 - 0)/(3 - 4)
-(4 - c) = 6
c - 4 = 6
c = 10
The complete linear function: y = 2x + 10
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