Question

The graph of y= -4x + 7 is

Answer 1

See attachment.

Explanation:

The equation of the function is

`y=-4x+7`

The slope of this function is

`m=-4` and the y-intercept is
`c=7`.

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.

`0=-4x+7`

`-7=-4x`

Divide through by -4.

`\Rightarrow x=(7)/(4)`

Therefore the graph also passes through
`((7)/(4),0)`.

We plot these two points and draw a straight line through them.