Given:
y - 4 = -4/5 (x - 1)
We need to find the x and y-intercept of the above.
To find the x-intercept, substitute y=0 into the equation and solve for x.
That is;
0 - 4 = -4/5 (x -1)
Mutiply both-side by -5/4
[tex]-4\times-\frac{5}{4}=-\frac{5}{4}\times-\frac{4}{5}(x-1)[/tex]5 = x - 1
Add 1 to both-side of the equation.
5 + 1 = x
6=x
x=6
Hence, the x-intercept is (6, 0).
Next, is to find the y-intercept.
Substitute x=0 and solve for y.
y - 4 = -4/5 (0 - 1)
y - 4 = 4/5
Add 4 to both-side of the equation.
y = 4/5 + 4
[tex]y=\frac{4+20}{5}=\frac{24}{5}=4.8[/tex]The y-intercept is ( 0, 4.8)
Attached below is the graph of the equation:
