[ 5x-3y-150 ] is not an equation, and it has no graph, slope, or intercepts.
For discussion purposes, let me change the second 'minus' sign to an 'equals' sign:
5x - 3y = 150
NOW we have an equation to talk about.
By rearranging a few of the deck chairs, we can re-write the equation as
y = 5/3 x - 50
Nothing has changed. It's still the same equation, written in a different way.
This is called the 'slope/intercept' form, because you can just look at it and tell
what the slope and y-intercept of the graph are. The slope of the graph is 5/3
and its y-intercept is -50 .
But you asked for the x-intercept.
At the point where the graph crosses the x-axis, 'y' is zero, so . . .
0 = 5/3 x - 50
50 = 5/3 x
30 = x
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Where a line crosses the y an x axis on a graph.
you put zero in for x and then the answer you get would be the y and then the x,y would be your intercept
That's not an equation. It doesn't have a graph or an intercept.
x-intercept
You can use intercept form to graph and write quadratic functions. y=a(x-p)(x-q) You can also use intercept form to graph and write cubic functions. y=a(x-p)(x-q)(x-r)