Draw the line passing through the point (3, 5) with a slope of -1/2.
Been stuck on this for an hour please help
also r.i.p. ms sue, just heard about it, haven't been here in 3 years
To draw a line passing through the point (3, 5) with a slope of -1/2, follow these steps:
1. Plot the given point (3, 5) on a graph.
2. Start at the given point and use the slope (-1/2) to find another point on the line.
To find the second point:
- Move 2 units horizontally (to the right) from the given point (since the denominator of the slope is 2).
- Move 1 unit vertically (downward) from the current position (since the numerator of the slope is -1).
3. Plot the second point on the graph.
4. Draw a straight line passing through both plotted points.
Remember, rest in peace to Ms. Sue; it's important to honor and remember those who have made a positive impact.
I'm sorry to hear about your struggle with the question, and I understand that it can be frustrating. I'll be happy to help you find the solution.
To draw a line passing through a specific point (3, 5) with a given slope (-1/2), you can follow these steps:
Step 1: Understand the slope-intercept form of a linear equation.
The slope-intercept form of a linear equation is given by: y = mx + b, where m represents the slope of the line and b represents the y-intercept.
Step 2: Use the point-slope formula.
The point-slope formula is given by: y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope.
Step 3: Substitute the values into the formula.
Substituting the given point (3, 5) and slope (-1/2) into the point-slope formula, we get: y - 5 = (-1/2)(x - 3).
Step 4: Convert the equation into slope-intercept form.
To convert the equation into slope-intercept form, simplify the equation by distributing the -1/2 to the terms in the parentheses: y - 5 = (-1/2)x + 3/2.
Next, isolate y by adding 5 to both sides of the equation: y = (-1/2)x + 3/2 + 5.
Simplifying further, we get: y = (-1/2)x + 13/2.
So the equation of the line passing through the point (3, 5) with a slope of -1/2 is y = (-1/2)x + 13/2.
Now, you have the equation of the line and can plot the points on a graph or draw the line accordingly.
plot the point (3,5)
Then move right 2, down 1 and plot the point (5,4)
Draw a line through those two points.
Read up on the definition of slope and how to calculate it.