Answer:
Step-by-step explanation:
Answer:
(i)
y-intercept is 5
(ii)
slope is [tex]\frac{-3}{1}[/tex]
(iii)
slope is negative
(iv)
another point is (3,-4)
Step-by-step explanation:
We are given equation as
[tex]f(x)=-3x+5[/tex]
now, we can compare it with slope intercept form of line
y=mx+b
where
m is slope
b is y-intercept
we get
[tex]m=\frac{-3}{1}[/tex]
[tex]b=5[/tex]
So,
(i)
y-intercept is 5
(ii)
slope is [tex]\frac{-3}{1}[/tex]
(iii)
we can see that
[tex]m=\frac{-3}{1}[/tex]
is a fraction and negative
so, slope is negative
(iv)
we can select any random value of x and find y
that will give us second point
Let's assume
x=3
[tex]y=\frac{-3}{1}\times 3+5[/tex]
[tex]y=-9+5[/tex]
[tex]y=-4[/tex]
So, another point is (3,-4)
(v)
Graph:
