Line equations can be written in slope-intercept form. The slope-intercept form is
[tex]y=mx+b[/tex]
Where m represents the slope and b the y-intercept.
The given line is
[tex]y=4x-5[/tex]
Comparing this equation with the slope-intercept form, we have a line with slope equal to 4 and y-intercept equals to -5.
Parallel lines have the same slope, then, the equation for the line we want has the following form
[tex]y=4x+b[/tex]
The x-intercept is -5, then, this means that x = -5 when y = 0. We can substitute those values in our form to find the coefficient b.
[tex]\begin{gathered} 0=4\cdot(-5)+b \\ 0=-20+b \\ -b=-20 \\ b=20 \end{gathered}[/tex]
This means that our line is
[tex]y=4x+20[/tex]
Graphing this equation, we have
