What is the equation of the line that passes through the point left bracket, 8, comma, 6, right bracket(8,6) and has a slope of one quarter
4
1
?
The equation of the line that passes through the point (8,6) and has a slope of one quarter (1/4) can be found using the point-slope form of a line.
The point-slope form of a line is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
Substituting the given values, the equation becomes:
y - 6 = 1/4(x - 8)
Simplifying the equation:
y - 6 = 1/4x - 2
y = 1/4x - 2 + 6
y = 1/4x + 4
Therefore, the equation of the line that passes through the point (8,6) and has a slope of 1/4 is y = 1/4x + 4.