Find the equation for points -6, 4and 2,6 on the graph

Answer 1

To find the equation for the line passing through the points (-6, 4) and (2, 6), we first need to calculate the slope of the line.

The slope formula is given by:
m = (y2 - y1) / (x2 - x1)

where (x1, y1) = (-6, 4) and (x2, y2) = (2, 6)

Therefore, the slope (m) = (6 - 4) / (2 - (-6)) = 2 / 8 = 1/4

Now that we have found the slope, we can use the point-slope form of the equation of a straight line:
y - y1 = m(x - x1)

Using point (-6, 4):
y - 4 = (1/4)(x - (-6))
y - 4 = (1/4)(x + 6)
y - 4 = (1/4)x + 3/2
y = (1/4)x + 3/2 + 4
y = (1/4)x + 11/2

Therefore, the equation for the line passing through the points (-6, 4) and (2, 6) is y = (1/4)x + 11/2.