complete the equation og the line throught (-10,3) and (-8,-8)
y=-?
To find the equation of the line passing through the points (-10,3) and (-8,-8), we can use the two-point formula for a linear equation.
The two-point formula is given by:
(y - y1) = ((y2 - y1)/(x2 - x1))(x - x1)
Given points:
Point 1: (-10,3)
Point 2: (-8,-8)
Substituting the values into the formula:
(y - 3) = ((-8 - 3)/(-8 - (-10)))(x - (-10))
Simplifying:
(y - 3) = (-11/2)(x + 10)
Distributing -11/2 to x and 10:
y - 3 = (-11/2)x - 55
Moving -3 to the other side of the equation:
y = (-11/2)x - 55 + 3
Simplifying further:
y = (-11/2)x - 52
Therefore, the equation of the line passing through (-10,3) and (-8,-8) is y = (-11/2)x - 52.