Question

write the following linear equation in slope - intercept form. determine the slope and y - intercept of the line. x + y = - 7 the slope - intercept form of the equation is y = - x - 7. the slope is - x. (simplify your answer.)

Explanation:

Step1: Isolate y

Subtract x from both sides of the equation $x + y=-7$.
$y=-x - 7$

Step2: Identify the slope

In the slope - intercept form $y = mx + b$ (where m is the slope and b is the y - intercept), for the equation $y=-x - 7$, the coefficient of x is the slope. The coefficient of x is - 1.

Step3: Identify the y - intercept

In the equation $y=-x - 7$, the constant term is the y - intercept. The y - intercept is - 7.

Answer:

The slope - intercept form of the equation is $y=-x - 7$. The slope is $-1$. The y - intercept is $-7$.