Question

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

Answer 1

c. y = -4x + 10

Explanation:

y = mx + b where b = y -intercept = 10

so

y = mx + 10

Plug in (2,2) to find slope m

2 = 2m + 10

2m = -8

m = -4

Slope m = -4

Equation

y = -4x + 10

Answer 2

C. y = -4x +10

Explanation:

Equation of a line is found by the formula y = mx +b

Where m is the slope and b is the y intercept

we 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:

`y=mx+b\\2=m(2)+10\\2=2m+10\\2-10=2m\\-8=2m\\m=(-8)/(2)\\m=-4`

We know the value of m to be -4 and b to be 10, thus we can write the equation as:

`y=-4x+10`

Answer choice C is right.