Question

Write and equation in slope-intercept form.
Y+3=-1/3 (2x+6)


NEED

Answer 1

To convert the given equation Y + 3 = -1/3 (2x + 6) to slope-intercept form, distribute the -1/3 across the parentheses and isolate y to get the equation y = -2/3x - 5, which is in slope-intercept form with a slope of -2/3 and a y-intercept of -5.

Step-by-step explanation:

The student is asking for an equation in slope-intercept form. The given equation is Y + 3 = -1/3 (2x + 6). To write it in slope-intercept form, which is y = mx + b, we need to solve for y.

First, distribute the -1/3 across the parentheses:

Y + 3 = -1/3 × 2x -1/3 × 6

• Y + 3 = -2/3x - 2

Next, subtract 3 from both sides to isolate y:

• Y = -2/3x - 2 - 3
• Y = -2/3x - 5

The equation is now in slope-intercept form, which shows that the slope (m) is -2/3 and the y-intercept (b) is -5.

Answer 2

The equation "Y + 3 = -1/3 (2x + 6)" is simplified to "Y = -2/3x - 5" in slope-intercept form. The slope is -2/3, representing the rate of change, and the y-intercept is -5, indicating the value of Y when x is zero.

To express the given equation "Y + 3 = -1/3 (2x + 6)" in slope-intercept form (Y = mx + b), we simplify the expression:

Y + 3 = -2/3x - 2

By isolating Y, we subtract 3 from both sides:

Y = -2/3x - 5

So, the equation in slope-intercept form is Y = -2/3x - 5. In this form, the slope (m) is -2/3, and the y-intercept (b) is -5.