Answer:
It is 10
Step-by-step explanation:
To find the y-intercept, we need to isolate y in the equation.
Starting with the given equation y + 8 = -4(x - 4.5):
First, distribute -4 to the terms inside the parentheses:
y + 8 = -4x + 18
Next, move 8 to the other side of the equation by subtracting 8 from both sides:
y = -4x + 18 - 8
Simplifying the right side gives us:
y = -4x + 10
Comparing this equation to the slope-intercept form, we can see that the y-intercept is 10. This means that the line intersects the y-axis at the point (0, 10).
Therefore, the y-intercept of the given line is 10.
Answer:
10
Step-by-step explanation:
Let's simplify this equation to slope-intercept form y = mx + c , where m is the slope and c is the y-intercept.
First, distribute the -4 on the right side:
y + 8 = -4x + 18
Next, isolate y by subtracting 8 from both sides:
y = -4x + 18 - 8
y = -4x + 10
Comparing this equation with the slope-intercept form y=mx + c, we see that the y-intercept (c) is 10.
Hence, the y-intercept of the line is 10.
