Question

Write the equation of the line fully simplified slope-intercept form.

Answer 1

Answer:5y=x-35

Explanation:

The given line passes through the points
`(0,-7)`,
`(10,-5)`.

Let the slope of the line be
`m`.

If a line passes through
`(x_(1),y_(1))` and
`(x_(2),y_(2))`,then

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

So,
`m=(-7-(-5))/(0-10)=(1)/(5)`

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

Let the y intercept be
`b`

From the graph,
`b=-7`

The equation of the line with slope
`m` and y-intercept
`b` is
`y=mx+b`

So,
`y=(1)/(5)x-7`

`5y=x-35`