Question

what is -2y-8=-2x in slope intercept form

Answer 1

Answer:

y= x-4

Step-by-step explanation:

slope-intercept form is y=mx+b

-2y-8=-2x   move the 8 over to the other side

-2y=-2x-8   divide whole equation by negative 2

this should give you, y=x-4

Answer 2

Solution:

We know that:

$\bullet \ \ \ \tex\text{Slope intercept form: y = mx + b } \ \tex\text{(Where m is the slope and b is the y-intercept)}$$\bullet \ \ \tex\text{Given equation:} \ 2\tex\text{y} - 8 = -2\tex\text{x}$

We can make the following points:

1. The y-intercept is the constant of the equation [with the coefficient of y as 1]. Since the coefficient of y is 2, we need to divide the constant of the equation by 2 to obtain the y-intercept.

• y-intercept = Constant of given equation/2
• y-intercept = -8/2
• y-intercept = -4

2. The slope is the coefficient of x (with the coefficient of y as 1). Since the coefficient of y is 2, we need to divide the coefficient of x by 2 to obtain the slope.

• Slope = Coefficient of x/2
• Slope = -2/2
• Slope = -1

Now, let's refer to the formula for the slope intercept form.

$\bullet \ \ \ \tex\text{Slope intercept form: y = mx + b } \ \tex\text{(Where m is the slope and b is the y-intercept)}$Substituting "m" and "b":

$\bullet \ \ \tex\text{-2y - 8 = -2x in slope intercept form: y = (-1)x + (-4) }$

$\bullet \ \ \boxed{\tex\text{-2y - 8 = -2x in slope intercept form: y = -x - 4}}$

Thus, the equation in slope intercept form is y = -x + 4.