Explanation:
To find the slope of line c, which is perpendicular to line b, you need to first find the slope of line b, and then determine the negative reciprocal of that slope, because perpendicular lines have slopes that are negative reciprocals of each other.
The slope of line b, which passes through points (8, 10) and (4, 3), can be found using the formula for slope:
m = (y2 - y1) / (x2 - x1)
Where (x1, y1) and (x2, y2) are the coordinates of the two points on line b.
For line b with points (8, 10) and (4, 3):
m_b = (3 - 10) / (4 - 8)
m_b = (-7) / (-4)
m_b = 7/4
Now, to find the slope of line c, which is perpendicular to line b, take the negative reciprocal of the slope of line b:
m_c = -1 / m_b
m_c = -1 / (7/4)
To simplify this, multiply by the reciprocal of 7/4:
m_c = -1 * (4/7)
m_c = -4/7
So, the slope of line c is -4/7
solved by. "MG"