Question

y - 5 = -\frac{5}{2}(x + 4)
graph of line b:
(graph of a line on a coordinate plane with x-axis from -10 to 10 and y-axis from -10 to 10, passing through some points)
answer attempt 1 out of 2
the y-intercept of line a is \boxed{} and the y-intercept of line b is \boxed{}. theref

Explanation:

Step1: Find x-intercept of Line A (equation \( y - 5 = -\frac{5}{2}(x + 4) \))

To find the x-intercept, set \( y = 0 \):
\( 0 - 5 = -\frac{5}{2}(x + 4) \)
\( -5 = -\frac{5}{2}(x + 4) \)
Multiply both sides by \( -\frac{2}{5} \):
\( (-5) \times (-\frac{2}{5}) = x + 4 \)
\( 2 = x + 4 \)
Subtract 4: \( x = 2 - 4 = -2 \)

Step2: Find x-intercept of Line B (from graph)

The x-intercept is where the line crosses the x-axis ( \( y = 0 \) ). From the graph, Line B crosses the x-axis at \( x = -6 \).

Answer:

The x-intercept of Line A is \(-2\) and the x-intercept of Line B is \(-6\).