Given
To find the equation for the line in slope-intercept form.
Explanation:
It is given that,
The given line passes through (1,25), (2,40).
That implies,
The slope of the line is,
[tex]\begin{gathered} m=\frac{40-25}{2-1} \\ m=\frac{15}{1} \\ m=15 \end{gathered}[/tex]Therefore, the equation of the line is,
[tex]y=15x+c[/tex]Since it passes through (1,25).
Then,
[tex]\begin{gathered} 25=15+c \\ c=25-15 \\ c=10 \end{gathered}[/tex]Hence, the equation of the line is y=15x+10.
