Show me a graph of the equation 2x+5y=25 is what convert the point slope equation y+5-3/4(×+2) in standard form
Which of the following is the graph of the following equation 2×+5y=25 please show graph
there are many online graphing sites.
Or, just pick two values for x, calculate y, plot the two points, and draw a line through them.
Or, change to intercept form by dividing by 25.
x/(25/2) + y/5 = 1
The intercepts are (25/2,0) and (0,5)
draw the line through them.
y + 5 = 3/4 (x+2)
4y+20 = 3x+6
3x - 4y = 14
To convert the point-slope equation y + 5 = (3/4)(x + 2) to standard form, we need to simplify and rearrange the equation.
First, let's expand the equation:
y + 5 = (3/4)(x + 2)
y + 5 = (3/4)x + (3/4)(2)
y + 5 = (3/4)x + 3/2
Next, let's get rid of the fraction by multiplying both sides of the equation by 4:
4(y + 5) = 4[(3/4)x + 3/2]
4y + 20 = 3x + 6
Now, let's move the x term to the left side and the constant term to the right side:
3x - 4y = 20 - 6
3x - 4y = 14
Finally, rearrange the terms in standard form:
3x - 4y - 14 = 0
So, the equation y + 5 = (3/4)(x + 2) can be converted to the standard form 3x - 4y - 14 = 0.
Now, let's plot the graph of the equation 2x + 5y = 25.
To do that, we need to find the x and y intercepts and then plot the corresponding points and connect them with a line.
To find the x-intercept, we set y = 0 and solve for x:
2x + 5(0) = 25
2x = 25
x = 25/2
x = 12.5
So, the x-intercept is (12.5, 0).
To find the y-intercept, we set x = 0 and solve for y:
2(0) + 5y = 25
5y = 25
y = 25/5
y = 5
So, the y-intercept is (0, 5).
Now, let's plot these two points on a graph:
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(12.5, 0) | (0, 5)
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Now, let's find two more points to plot the line. We can choose any values of x and solve for y.
For example, let's choose x = 5:
2(5) + 5y = 25
10 + 5y = 25
5y = 15
y = 15/5
y = 3
So, one point on the line is (5, 3).
Now, let's choose x = -5:
2(-5) + 5y = 25
-10 + 5y = 25
5y = 35
y = 35/5
y = 7
Another point on the line is (-5, 7).
Now, we can plot these two points and draw a line through them:
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(12.5, 0) | (0, 5)
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(5, 3) | (-5, 7)
----------------------------- (x-axis)
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This line represents the graph of the equation 2x + 5y = 25.