Question

Please Help me fast!!!!

Answer 1

Answer:Slope=8,
`(-1)/(2)`,equation is
`x+2y=16`.

Explanation:

Y-intercept of the line is defined as y-coordinate the point where the line crosses the y-axis.

We can see from the graph that the line passes y axis at
`(0,8)`

So,y intercept is
`8`

Let
`m` be the slope of a line which passes through
`(x_(1).y_(1))` and
`(x_(2),y_(2))`

`m=(y_(2)-y_(1))/(x_(2)-x_(1))`

The given line passes through
`(0,8)` and
`(10,3)`

So,
`m=(8-3)/(10-0)=(-1)/(2)`.

Equation of a line that passes through
`(x_(1),y_(1))` and slope
`m` is
`y-y_(1)=m(x-x_(1))`.

It is given that the line passes through
`(0,8)`

So, the equation is
`y-8=(-1)/(2)* (x-0)`

So,
`x+2y=16` is equation of the the given line when simplified.