Write the equation of the line that passes through the points (1,4) and (-7,1)

y = 3/8x +29/8

Step-by-step explanation:

First we need to find the slope

m= (y2-y1)/(x2-x1)

   = (1-4)/(-7-1)

   = -3 /-8

   = 3/8

Then we can use the slope intercept form of the equation of a line

y = mx+b where m is the slope and b is the y intercept

y = 3/8x +b

Substitute a point into the equation to find b

4 = 3/8(1) +b

Subtract 3/8 from each side

32/8 -3/8 = 3/8-3/8+b

29/8 = b

Substitute b back into the equation

y = 3/8x +29/8

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .