Answer:
(0,1/2)
Sorry if this is wrong!!
Graph the line using the slope and y-intercept, or two points.
Slope: 0
It would be b.
It would be first a reflection across A because the points of the triangle are equidistant from the line as they were before just on the other side of the line.
Then it would be a translation because the triangle still holds the same orientation(I don't know if this is the right word) but is moved to a different spot.
A line parallel to x-2y=6 has which slope? Solving for y, -2y = 6 - x, and
m = -1 / -2, or 1/2.
Then the slope-intercept formula, y = mx + b, becomes 4 = (1/2)(2) + b, and b is 3. Thus, the equation of this line is y = (1/2)x + 3.
Check: does the point (2,4) satisfy this equation? Is 4 = (1/2)(2) + 3 true? YES.
Knowing the roots first write the equation in factored form:
(X - 3/4)(x +5) = 0
Now use the FOIL method ( multiply each term in one set of parentheses by each term the other set:
X•x + x•5 -3/4•x -3/4•5
Simplify:
X^2 + 5x -3/4x -3 3/4
Combine like terms:
X^2+ 4 1/4x - 3 3/4
