# How do you graph using the intercepts for #5x+3y=53#?

Converting the given equation to intercept form,

Hence,

Now we can plot the graph knowing two points on a line.

graph{-(5/3) x + (53/3) [-10, 10, -5, 5]}

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To graph using the intercepts for the equation (5x + 3y = 53):

- Find the x-intercept by setting (y = 0) and solving for (x).
- Find the y-intercept by setting (x = 0) and solving for (y).
- Plot these intercept points on the coordinate system.
- Draw a straight line passing through these points.

For the x-intercept: (5x + 3(0) = 53) (5x = 53) (x = \frac{53}{5})

For the y-intercept: (5(0) + 3y = 53) (3y = 53) (y = \frac{53}{3})

So the x-intercept is (\left(\frac{53}{5}, 0)) and the y-intercept is (\left(0, \frac{53}{3}\right)).

Plot these points and draw a line passing through them to graph the equation.

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