What is the slope of the line that is perpendicular to a line whose equation 3y=-4x+2? the image below, are answer choices.

The slopes of lines perpendicular to each other are opposite reciprocals. So, if you are given that the slope of a line is 3 and need to find the slope of a line perpendicular to that line, you'd flip that number around and negate it, leaving you with -1/3.

To find the slope of the given line, first get it into slope-intercept form (y - mx + b, where m is the slope and b is the y-intercept).

    3y = -4x + 2
    y = -4/3x + 2/3

The slope is -4/3. To find the slope of a perpendicular line, find its opposite reciprocal. It is 3/4.

3/4 (the first option)

The solution to the equation f(x)=g(x) is (1,3)

Step-by-step explanation:

Given . We have to find the solution to the equation f(x)=g(x).

The graph of   and can be drawn.

The graph of g(x)=−x+4  is a straight line, with the same gradient throughout.

The graph of   can also be drawn using two reference points, e.g.  (0,2)  and  (1,3) .

The coordinates at which these graphs meet are   (1,3)  .

Hence, the solution to the equation f(x)=g(x) is (1,3)