Questions: By looking at the graph, we can see that the y-intercept is (0,3). In order to find the slope, we need another point on the line whose coordinates are clearly visible. Such a point is (2,0).
Transcript text: By looking at the graph, we can see that the $y$-intercept is $(0,3)$. In order to find the slope, we need another point on the line whose coordinates are clearly visible. Such a point is $(2,0)$.
Solution
Solution Steps
Step 1: Identify the given points
The problem states that the y-intercept is (0, 3) and another point on the line is (2, 0).
Step 2: Calculate the slope
The slope (m) of a line is given by the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are two points on the line. Using the points (0, 3) and (2, 0):
m = (0 - 3) / (2 - 0)
m = -3 / 2
Step 3: Write the equation in slope-intercept form
The slope-intercept form of a linear equation is:
y = mx + b
where 'm' is the slope and 'b' is the y-intercept. We have calculated the slope (m) as -3/2 and the y-intercept is given as 3. Thus, the equation of the line is: