Question

Determine the intercepts of
Y - 3 = 5 (x - 2)

Answer 1

`\Hugee{y-intercept=-7\to(0,\ -7)}\\\\\Hugee{x-intercept=1.4\to(1.4,\ 0)}`

Explanation:

`y-3=5(x-2)`

y-intercept for x = 0.

Put x = 0 to the equation and solve it:

`y-3=5(0-2)`

`y-3=(5)(-2)`

`y-3=-10` add 3 to both sides

`y-3+3=-10+3\\\\y=-7`

x-intercept for y = 0.

Put y = 0 to the equation and solve it:

`0-3=5(x-2)` use distributive property a(b + c) = ab + ac

`-3=(5)(x)+(5)(-2)`

`-3=5x-10` add 10 to both sides

`-3+10=5x-10+10`

`7=5x` divide both sides by 5

`(7)/(5)=x\to x=1.4`

Answer 2

(7/5 ,0)

(0,-7)

Explanation:

Y - 3 = 5 (x - 2)

To find the x intercept set y=0 and solve for x

0-3 = 5(x-2)

Distribute

-3 = 5x-10

Add 10 to each side

-3+10 =5x-10+10

7 = 5x

Divide by 5

7/5 = 5x/5

7/5 =x

(7/5 ,0)

To find the y intercept set x = 0 and solve for y

y-3 = 5(0-2)

y-3 = 5(-2)

y-3 = -10

Add 3 to each side

y-3+3=-10+3

y = -7

(0,-7)