Answer
$5x+y=−10$
Work Step by Step
Let us consider that $m$ be the slope of a line that contains a point let us say $P(x_1,y_1)$, then its equation is given by: $y−y_1=m(x−x_1)$ (this is the point-slope form of a line's equation).
Since the $x$-intercept is $2$, then the line contains the point $P(2,0)$.
The slope is $5$ so $m=5$.
Thus, the equation of the line using the point-slope form mentioned above is:
$ y−0=5(x−2) \\ y=5x−10$
The general or standard form of of a lne's equation is $Ax + By = C$ where $A, B, \text{and C}$ are real numbers.
Hence, the standard form the equation above is $5x+y=-10$.
