Help! I am stumped on this one.
Graph the equation 15x + 5y = 10
Thanks! I have been working on these practice problems for two hours and cannot figure this one out
Easiest way to graph a straight line on a grid is to find their x and y intercepts.
for this one:
let x = 0 , then y = 2
let y = 0 , then x = 2/3
you now have two points (0,2) and (2/3 , 0)
plot them , join them and you are done
No problem! I can help you step-by-step with graphing the equation 15x + 5y = 10.
Step 1: Convert the equation to slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept.
Let's start by isolating y in the equation:
15x + 5y = 10
Subtract 15x from both sides:
5y = -15x + 10
Divide both sides by 5:
y = -3x + 2
Step 2: Identify the slope (m) and y-intercept (b) of the equation.
The slope (m) is the coefficient of x, which in this case is -3.
The y-intercept (b) is the constant term, which is 2.
Step 3: Plot the y-intercept on the graph.
The y-intercept is the point (0, b), so plot the point (0, 2) on the graph.
Step 4: Use the slope to find additional points.
The slope is -3, so for every increase of 1 unit in x, y decreases by 3 units.
Using the y-intercept (0,2) as a starting point:
- Move 1 unit to the right (x+1), which means x = 0 + 1,
- Move 3 units down (y-3), which means y = 2 - 3.
Repeat this process to find one or two more points on the line.
Step 5: Plot the additional points on the graph.
Step 6: Draw a straight line connecting the plotted points.
Use a ruler or straight edge to draw a straight line connecting all the plotted points. Ensure that the line passes through each of the points.
And there you have it! You have successfully graphed the equation 15x + 5y = 10.
No problem! Graphing an equation can sometimes be tricky, but I'll guide you through it.
To graph the equation 15x + 5y = 10, we can start by rewriting it in the form y = mx + b, where m is the slope and b is the y-intercept.
Let's isolate y:
15x + 5y = 10
Subtract 15x from both sides:
5y = -15x + 10
Now divide both sides by 5 to solve for y:
y = -3x + 2
Now we have the equation in slope-intercept form.
Next, we can find two points on the line. To do this, we can choose any x-values and plug them into the equation to find their corresponding y-values.
Let's choose x = 0:
y = -3(0) + 2
y = 2
So, one point on the line is (0, 2).
Now let's choose another x-value, such as x = 2:
y = -3(2) + 2
y = -6 + 2
y = -4
So another point on the line is (2, -4).
Now we have two points on the line, we can plot them on a graph. Set up a coordinate plane with x and y axes. Plot the points (0, 2) and (2, -4) on the graph.
From each point, draw a straight line through both points. This line represents the graph of the equation 15x + 5y = 10.
Remember to label the axes and title the graph for clarity.
I hope this helps! Let me know if you have any further questions.