Explanation:
The slope-intercept form is:
[tex]y=mx+b[/tex]
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:
[tex]m=\frac{y_1-y_2}{x_1-x_2}[/tex]
For points (6, 7) and (0, 0) the slope is:
[tex]m=\frac{7-0}{6-0}=\frac{7}{6}[/tex]
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:
[tex]y=\frac{7}{6}x[/tex]
