Final answer:
In order to graph the line with the points (3.5,2) and (-2.5,3), we can plot these points on a coordinate plane. The x-coordinate represents the horizontal position and the y-coordinate represents the vertical position.
Step-by-step explanation:
To graph a line with the given points (3.5, 2) and (-2.5, 3), we can use the slope-intercept form of a linear equation, which is y = mx + b, where m represents the slope and b represents the y-intercept.
1. Calculate the slope (m) using the formula: m = (y₂ - y₁) / (x₂ - x₁). Let's choose (3.5, 2) as our first point and (-2.5, 3) as our second point.
m = (3 - 2) / (-2.5 - 3.5) = 1 / (-6) = -1/6.
2. Now, let's use one of the given points and the calculated slope to find the y-intercept (b). We'll use (3.5, 2).
y = mx + b
2 = (-1/6)(3.5) + b
2 = -7/12 + b
To isolate b, we can add 7/12 to both sides:
2 + 7/12 = -7/12 + 7/12 + b
2 + 7/12 = b + 0
31/12 = b.
3. We now have the equation of the line: y = (-1/6)x + 31/12.
4. To graph the line, plot the two given points on a coordinate plane: (3.5, 2) and (-2.5, 3).
5. Using a ruler, draw a straight line passing through these two points. This line represents the graph of the equation y = (-1/6)x + 31/12.
6. Finally, click on the specified point on the graph.
In summary, to graph the line passing through the points (3.5, 2) and (-2.5, 3), you can follow the steps above.
Your question is incomplete, but most probably the full question was:
A line with the points (3.5,2) and (-2.5,3) and graph a point. Click the point again