Question

Y-6=4(x+5) what are the Y and X intercept

Answer 1

The y-intercept of the equation y-6=4(x+5) is at the point (0, 26), and the x-intercept is at the point (-6.5, 0).

Step-by-step explanation:

To find the x-intercept and y-intercept of the equation y-6=4(x+5), we need to set each variable to zero in turn and solve for the other variable.

For the y-intercept, we set x to zero:

• y - 6 = 4(0 + 5)
• y - 6 = 20
• y = 26

Therefore, the y-intercept is at the point (0, 26).

For the x-intercept, we set y to zero:

• 0 - 6 = 4(x + 5)
• -6 = 4x + 20
• 4x = -26
• x = -6.5

So, the x-intercept is at the point (-6.5, 0).

Answer 2

Hello.

Reorder the terms: -6 + y = 4(x + 5)

Reorder the terms: -6 + y = 4(5 + x) -6 + y = (5 * 4 + x * 4) -6 + y = (20 + 4x)

Solving -6 + y = 20 + 4x Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '6' to each side of the equation. -6 + 6 + y = 20 + 6 + 4x

Combine like terms: -6 + 6 = 0 0 + y = 20 + 6 + 4x y = 20 + 6 + 4x

Combine like terms: 20 + 6 = 26 y = 26 + 4x

Simplifying y = 26 + 4x


x-intercept: (−132,0)(-132,0)y-intercept: (0,26)

Have a nice day