Question 211230
You are correct on the slope and to graph this (or any) linear equation, you need plot only two points on you coordinate graph paper and connect the points with a straight line.
The simplest way to get these two points is to:
Set x = 0 and solve for y, then set y = 0 and solve for x.
{{{y = (5/4)x+5}}} Set x = 0.
{{{y = (5/4)(0)+5}}}
{{{y = 5}}} The first point is (0, 5)
{{{y = (5/4)x+5}}} Set y = 0.
{{{0 = (5/4)x+5}}} Subtract 5 from both sides of the equation.
{{{-5 = (5/4)x}}} Now multiply both sides by {{{4/5}}}
{{{-4 = x}}} The second point is (-4, 0)
Now plot these points on your coordinate graph paper, suitably marked with the perpendicular x-axis (horizontal) and y-axis (vertical) then join the two points with a straight line.
The graph will look like this:
{{{graph(400,400,-5,5,-5,8,(5/4)x+5)}}}