Answer:
C.-37/7
Explanation:
Given the following data;
Points (x, y) = (5, -6)
Slope, m = -1/7
Mathematically, the equation of a straight line is given by the formula;
y = mx + c
Where;
m is the slope.
x and y are the points
c is the intercept.
To find the y-intercept of the line, we would use the following formula;
y - y1 = m(x - x1)
y - (-6) = -⅐(x - 5)
y + 6 = -⅐x + 5/7
y = -⅐x + (5/7 - 6)
y = -⅐x - 37/7 = mx + c
Therefore, y-intercept (c) = -37/7