Answer:
b=3.4
Explanation:
The question in English is
The graph of the function y=-2.4x+b passes through the point with the coordinates (6;-11) find the number b
we know that
The linear equation in slope intercept form is equal to
![y=mx+b](https://img.qammunity.org/2021/formulas/mathematics/middle-school/yj5waqmoy4i54laybzhhshd88hyo5w5rj5.png)
where
m is the slope b is the y-intercept
In this problem we have
----> linear equation in slope intercept form
we have the ordered pair (6,-11)
substitute the value of x and y in the linear equation and solve for b
![-11=-2.4(6)+b](https://img.qammunity.org/2021/formulas/mathematics/middle-school/f9pcvx4rr49vd72f7xg7xlrvodtgoq2wao.png)
solve for b
![-11=-14.4+b](https://img.qammunity.org/2021/formulas/mathematics/middle-school/btcez6qjm2xz20wjgii3bed4b3st9me5m6.png)
Adds 14.4 both sides
![b=-11+14.4\\b=3.4](https://img.qammunity.org/2021/formulas/mathematics/middle-school/co2y6qpe81jjqsbioq32fy5rbokspsz47t.png)