Answer:
See attachment.
Step-by-step explanation:
The equation of the function is
[tex]y=-4x+7[/tex]
The slope of this function is
[tex]m=-4[/tex] and the y-intercept is [tex]c=7[/tex].
This implies that the graph of the straight line passes through (0,7).
Let us also find the x-intercept by putting y=0 into the equation.
[tex]0=-4x+7[/tex]
[tex]-7=-4x[/tex]
Divide through by -4.
[tex]\Rightarrow x=\frac{7}{4}[/tex]
Therefore the graph also passes through [tex](\frac{7}{4},0)[/tex].
We plot these two points and draw a straight line through them.
