which equation represents the graphed function?\n$y=-2x + 3$\n$y=2x + 3$\n$y=\\frac{1}{2}x +…

which equation represents the graphed function?\n$y=-2x + 3$\n$y=2x + 3$\n$y=\\frac{1}{2}x + 3$\n$y=-\\frac{1}{2}x + 3$

which equation represents the graphed function?\n$y=-2x + 3$\n$y=2x + 3$\n$y=\\frac{1}{2}x + 3$\n$y=-\\frac{1}{2}x + 3$

Answer

Explanation:

Step1: Find the slope

Use the slope formula (m=\frac{y_2 - y_1}{x_2 - x_1}). Let ((x_1,y_1)=(0,3)) and ((x_2,y_2)=(1,1)). (m=\frac{1 - 3}{1 - 0}=\frac{-2}{1}=-2)

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 ((0,3)), we know that (b = 3). Since (m=-2), the equation is (y=-2x + 3).

Answer:

(y=-2x + 3) (the first option)