Write the equation of the line that passes through the points left bracket, 6, comma, 0, right bracket(6,0) and left bracket, 8, comma, 7, right bracket(8,7). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
The point-slope form of a linear equation is given by y - y1 = m(x - x1), where (x1, y1) are the coordinates of a point on the line and m is the slope of the line.
First, let's find the slope of the line using the two given points. The slope (m) is given by the formula m = (y2 - y1)/(x2 - x1), where (x1, y1) = (6, 0) and (x2, y2) = (8, 7).
m = (7 - 0)/(8 - 6) = 7/2
Now, we can use the point-slope form:
y - 0 = (7/2)(x - 6)
Simplifying:
y = (7/2)x - 21
Therefore, the equation of the line passing through the points (6, 0) and (8, 7) is y = (7/2)x - 21.