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3 years ago

How do you find X and Y intercepts

2 answers:

5 0

The x intercept is when the line crosses the x axis
the place where the line crosses the x axis is also when y=0
the y intercept is when the line crosses the y axis
the place where the line crosses the y axis is also when x=0

so lets say you have the equation in slope-intercept form
which is y=mx+b

m=slope
b=y-intercept

to find the x intercept, set y to zero and solve
to find the y intercept, find b or set x to zero and solve (which cancels out mx and leaves b)

so exg
y=3x+4
x intercept=y=0 so 0=3x+4
subtract 4 from both sides
-4=3x
divide boht sides by 3
-4/3=x intercept

so y intercept
y=3(0)+4
y=0+4
y=4=y intercept

andreev551 [17]3 years ago

3 0

X and Y intercepts are when a function crosses the x or y axis.
x-intercepts are at (x-value, 0) and y-intercepts are at (0, y-value).

To find the place where a function crosses the x or y axis, you must plug zero in for the opposit variable. This means plugging in 0 in the equation for y when you try to find x-intercepts and 0 in for x when you try to find y-intercepts, and then solve.

EX. the simple linear equation y = 4x + 2

find the x-intercept: 0 = 4x +2
-2 -2
------------
4
(-.5, 0)

find the y-intercept: y = 4(0) +2
y= 2
(0,2)

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A boat on a river travels downstream between two points, 90 mi apart, in 1 h. The return trip against the current takes 2 1 2 h.

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Answer:

A)63miles per hour.

B)27 miles per hour

Step-by-step explanation:

HERE IS THE COMPLETE QUESTION

boat on a river travels downstream between two points, 90 mi apart, in 1 h. The return trip against the current takes 2 1 2 h. What is the boat's speed (in still water)??b) How fast does the current in the river flow?

Let the speed of boat in still water = V(boat)

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To calculate speed of boat downstream, we add speed of boat in still water and speed of current. This can be expressed as

[V(boat) +V(current)]

It was stated that it takes 1hour for the

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To calculate speed of boat against current, we will substact speed of current from speed of boat in still water. This can be expressed as

[V(boat) - V(current)]

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But we know but Speed= distance/time

Then if we input the stated values we have

V(boat) + V(current)]= 90/1 ---------eqn(1)

V(boat) - V(current) = 90/2.5----------eqn(2)

Adding the equations we have

V(boat) + V(current) + [V(boat) - V(current)]= 90/2.5 + 90/1

V(boat) + V(current) + V(boat) - V(current)]=90+36

2V(boat)= 126

V(boat)=63miles per hour.

Hence, Therefore, the speed of boat in still water is 63 miles per hour.

?b) How fast does the current in the river flow?

the speed of the current in the river, we can be calculated if we input V(boat)=63miles per hour. Into eqn(1)

V(boat) + V(current)]= 90/1

63+V(current)=90

V(current)= 27 miles per hour

Hence,Therefore, the speed of current is 27 miles per hour.

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decision.

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