Question

Find the linear function with the following properties.
f(-4) = 7
f(-8) = -4

Answer 1

`\mathsf{ y=(11)/(4)x+18}`

Explanation:

`\mathsf{(x_1,y_1)=(-4,7)}`

`\mathsf{(x_2,y_2)=(-8,-4)}`

`\mathsf{slope \ (m)=(y_2-y_1)/(x_2-x_1)=(-4-7)/(-8+4)=(11)/(4)}`

`\mathsf{y-y_1=m(x-x_1)}`

`\mathsf{\implies y-7=(11)/(4)(x+4)}`

`\mathsf{\implies y=(11)/(4)x+18}`