Question

Graph the line for y + 1 equals -3/5 parentheses x subtract 4 parentheses​

Answer 1

The graph is shown below.

Explanation:

Given:

Equation of a line is
`y+1=-(3)/(5)(x-4)`

The equation of a line with a point
`(x_(1),y_(1))` and slope
`m` is given as:

`y-y_(1)=m(x-x_(1))`

On comparing the given equation with the standard form, we get

`x_(1)=4,y_(1)=-1,m=-(3)/(5)`

Now, we first plot the point
`(4,-1)`.

Slope is
`-(3)/(5)`. This means that we have to move 3 units down and 5 units right to get the slope as negative. We mark the second point there.

Now, we plot a line joining both the points. Thus, the graph is drawn.