Question

answer f 1 half 25 y intercept equals 375--g slope 1 half 25 y intercept equal 15H slope equals 25 y intercept equal 375J slope equals negative 25 y intercept equals 15

Answer 1

`\begin{gathered} \text{Slope}=-(1)/(25) \\ y-\text{intercept}=15 \end{gathered}`

Explanation:

Linear functions are represented by the following expression:

`\begin{gathered} y=mx+b \\ \text{where,} \\ m=\text{slope} \\ b=y-\text{intercept} \end{gathered}`

m is the constant rate of change of the function, and it's calculated as the change in y over the change in x:

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ m=(14.6-15)/(10-0) \\ m=-(1)/(25) \end{gathered}`

The y-intercept of a linear function is when the line crosses the y-axis, which means when x=0.

Therefore, the y-intercept of the line is 15.