Question

Find an equation of the line described. write the equation in slope intercept from when possible.

Answer 1

Step-by-step explanation:

The slope-intercept form is:

`y=mx+b`

Where 'm' is the slope and 'b' is the y-intercept.

The slope of a line that passes through points (x1, y1) and (x2, y2) is:

`m=(y_1-y_2)/(x_1-x_2)`

For points (6, 7) and (0, 0) the slope is:

`m=(7-0)/(6-0)=(7)/(6)`

The y-intercept is the point where the line crosses the y-axis. This happens always when x = 0, so the coordinates of the y-intercept are (0, b)

In this case, we have a point (0, 0). This means that the line goes through the origin. Therefore the y-intercept is 0.

Answer:

The equation of the line is:

`y=(7)/(6)x`