We will investigate the formulation of an equation of a straight line.
All equation of a straight line are mostly expressed in the general slope-intercept form as follows:
[tex]y\text{ = m}\cdot x\text{ + c}[/tex]Where,
[tex]\begin{gathered} m\text{ : Slope/gradient} \\ c\colon\text{ y-intercept} \end{gathered}[/tex]The above two parameters ( m and c ) distinguish amoung different equation of a straight line.
We are given the values of the two parameters as follows:
[tex]\begin{gathered} m\text{ = -3} \\ c\text{ = 5} \end{gathered}[/tex]We will go ahead and plug in the respective values of the two parameters in the generalized formulation of an equation of a straight line:
[tex]y\text{ = -3x + 5}[/tex]Therefore, the equation of the straight line is:
[tex]y\text{ = -3x + 5 }\ldots\text{ Answer}[/tex]