which equation represents the graphed function?\n$y = 4x - 2$\n$y = -4x - 2$\n$y = \\frac{1}{4}x - 2$\n$y =…

which equation represents the graphed function?\n$y = 4x - 2$\n$y = -4x - 2$\n$y = \\frac{1}{4}x - 2$\n$y = -\\frac{1}{4}x - 2$

which equation represents the graphed function?\n$y = 4x - 2$\n$y = -4x - 2$\n$y = \\frac{1}{4}x - 2$\n$y = -\\frac{1}{4}x - 2$

Answer

Explanation:

Step1: Find the slope

The slope formula is (m=\frac{y_2 - y_1}{x_2 - x_1}). Given two points ((0,-2)) and ((4,-1)), (x_1 = 0,y_1=-2,x_2 = 4,y_2=-1). (m=\frac{-1-(-2)}{4 - 0}=\frac{-1 + 2}{4}=\frac{1}{4}).

Step2: Use the slope - intercept form

The slope - intercept form of a line is (y=mx + b), where (m) is the slope and (b) is the (y) - intercept. From the point ((0,-2)), the (y) - intercept (b=-2). Substituting (m = \frac{1}{4}) and (b=-2) into (y=mx + b), we get (y=\frac{1}{4}x-2).

Answer:

(y=\frac{1}{4}x - 2) (the third option)