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What is the x-intercept of the graph of y=3−5x?

Sagot :

reinhard10158

Step-by-step explanation:

what did it mean to have an x-(axis-)intercept ?

just imagine the function curve gets closer and closer to the x-axis, and then finally intersects it.

that means there is a point on this function that is also on the x-axis.

what are the coordinates of points on the x-axis ?

well, sure, for x any value from -infinity to +infinity is possible.

but what about y ? what values can y have for points on the x-axis ? greater than 0 ? lower than 0 ?

no, if y would have any value different than 0, this point would not be ON the x-axis.

so, we know, the interception point must have y = 0.

and that is what we use in our function equation :

0 = 3 - 5x

5x = 3

x = 3/5

so, at x=3/5 there is the x-interception with the point coordinates (3/5, 0).

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