Answer:
6
Step-by-step explanation:
Let [tex](x_1,y_1)[/tex] = (-2, 0)
Let [tex](x_2,y_2)[/tex] = (1, 9)
slope formula: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
⇒ slope m = [tex]\dfrac{9-0}{1+2}=3[/tex]
Using point-slope form of linear equation: [tex]y-y_1=m(x-x_1)[/tex]
⇒ [tex]y-0=3(x+2)[/tex]
⇒ [tex]y=3x+6[/tex]
y-intercept is the point at which the line crosses the y-axis, so when x = 0. Therefore, the y-intercept of the function is 6.
