through (2, 2), y-intercept 10 a. y = x + 10 c. y = -4x + 10 b. y = 4x + 10 d. y = x - 40

Answer:C. y = -4x +10Step-by-step explanation:Equation of a line is found by the formula y = mx +bWhere m is the slope and b is the y interceptwe see that y-intercept is given as 10, so b = 10 and we plug in the coordinate (2,2) into the equation to find the slope (m). We plug in x = 2 and y = 2. Shown below:[tex]y=mx+b\\2=m(2)+10\\2=2m+10\\2-10=2m\\-8=2m\\m=\frac{-8}{2}\\m=-4[/tex]We know the value of m to be -4 and b to be 10, thus we can write the equation as:[tex]y=-4x+10[/tex]Answer choice C is right.