Answer :
When we write a line equation, it can be written in point-slope form. This form is
[tex](y-y_1)=m(x-x_1)[/tex]Where m represents the slope of the line, and (x1, y1) are the coordinates of a given point of the line.
Since we already have the slope and point, we can just substitute them on this form.
The line equation written in point-slope form is
[tex](y-25.3)=22.4(x-0.4)[/tex]The slope-intercept form is
[tex]y=mx+b[/tex]Where m represents the slope and b the y-intercept.
Since we already have the equation in point-slope form, we can just rewrite the equation
[tex]\begin{gathered} (y-25.3)=22.4(x-0.4) \\ y=22.4(x-0.4)+25.3 \\ y=22.4x-8.96+25.3 \\ y=22.4x+16.34 \end{gathered}[/tex]And this is our equation in slope-intercept form
[tex]y=22.4x+16.34[/tex]