Question

Write an eqution of y-7=-(x+4) in slope intercept form

Answer 1

The equation y-7=-(x+4) can be written in slope-intercept form by simplifying and solving for y to get y = -x + 3, where the slope is -1 and the y-intercept is 3.

Step-by-step explanation:

To write the equation y-7=-(x+4) in slope-intercept form, we first simplify and solve for y. The slope-intercept form of a linear equation is y = mx + b, where m represents the slope of the line, and b represents the y-intercept.

Starting with the given equation:

1. y - 7 = -1(x + 4)
2. y - 7 = -x - 4
3. Add 7 to both sides of the equation: y = -x + 3.

Therefore, the equation y-7=-(x+4) in slope-intercept form is y = -x + 3, where the slope (m) is -1, and the y-intercept (b) is 3.