Question

x + y = -7
graph of line b:
(graph of a line on a coordinate plane with x and y axes from -10 to 10, line b passes through (0, 3) and (3, 0) etc.)
answer attempt 1 out of 2
the slope of line a is blank and the slope of line b is blank. therefore the slope of

Explanation:

Step1: Find slope of Line A

The equation of Line A is \(x + y=-7\). Rewrite it in slope - intercept form \(y = mx + b\) (where \(m\) is the slope and \(b\) is the y - intercept).
Subtract \(x\) from both sides: \(y=-x - 7\). So the slope of Line A, \(m_A=- 1\).

Step2: Find slope of Line B

To find the slope of Line B, we can use two points on the line. From the graph, we can see that Line B passes through \((0,3)\) (the y - intercept) and \((3,0)\) (the x - intercept).
The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let \((x_1,y_1)=(0,3)\) and \((x_2,y_2)=(3,0)\).
Then \(m_B=\frac{0 - 3}{3 - 0}=\frac{-3}{3}=-1\).

Answer:

The slope of Line A is \(-1\) and the slope of Line B is \(-1\).