Answer:
the intercept method yields the graph of the line passing through the points (10/3, 0) and (0, 5/2)
Explanation:
To use the intercept method, we need to find the x and y intercepts of the equation 3x + 4y = 10.
X-intercept:
To find the x-intercept, we set y = 0 and solve for x:
3x + 4(0) = 10
3x = 10
x = 10/3
Therefore, the x-intercept is (10/3, 0).
Y-intercept:
To find the y-intercept, we set x = 0 and solve for y:
3(0) + 4y = 10
4y = 10
y = 5/2
Therefore, the y-intercept is (0, 5/2).
Now, we plot the x and y intercepts on the coordinate plane and draw a line passing through both points to obtain the graph of the equation 3x + 4y = 10.
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3.33
Therefore, the intercept method yields the graph of the line passing through the points (10/3, 0) and (0, 5/2) as shown above.