Using (0, 3) as the y-intercept, find another point on each line in order to find the slope of each line. Label the slope on each line. Order the slopes from least to greatest.
To find another point on each line, we need to use the y-intercept and the slope.
Line 1:
Given the y-intercept at (0, 3), let's find another point on the line. We can choose any x-value, and the corresponding y-value will help us calculate the slope.
Let's choose x = 1. Plugging this into the equation of the line in slope-intercept form (y = mx + b), we get:
y = m(1) + 3
To solve for y, we need to know the value of the slope (m). Since the question asks us to find the slope of each line, we do not know the exact value yet. However, we can label this point as (1, m + 3).
Line 2:
Similarly, for the y-intercept at (0, 3), let's choose x = 1 again to find another point on the line.
Knowing the y-intercept (0, 3) and choosing x = 1, we have:
y = m(1) + 3
Similarly, this point can be labeled as (1, m + 3).
Ordering the slopes from least to greatest:
Since we don't know the exact value of the slopes (m) yet, we cannot determine the order.