Question

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

Answer 1

Answer:

(7/5 ,0)

(0,-7)

Step-by-step 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)

Answer 2

Answer:

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

Step-by-step 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

$\dfrac{7}{5}=x\to x=1.4$