Respuesta :
The value of the y-intercept of the line is -26
- X ___ Y
- 24 __ -8
- 36 ___ 1
- 48 ___ 10
According to the general line equation : y = bx + c
Where b = slope ; c = intercept
The slope value, b = Rise ÷ Run
- Rise = y2 - y1 = (10 - (-8)) = 18
- Run = (x2 - x1) = (48 - 24) = 24
The slope, b = (18 ÷ 24) = 0.75
Taking any pair of points from the table, in other to calculate the intercept ;
Taking the points (36 and 1)
y = bx + c
1 = 0.75(36) + c
1 = 27 + c
1 - 27 = c
c = - 26
Therefore, the value of the intercept is - 26
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