Find the Equation of the Line that has the same y-intercept as y=-3x+4 and same x intercept as 4x-8y=20 Please guide me through this question

Question

Find the Equation of the Line that has the same y-intercept as y=-3x+4 and same x intercept as 4x-8y=20  Please guide me through this question

waheguru · Answer

Hello Mr.GT, Nice to see you =)

waheguru · Answer

Have exams tommorow

anonymous · Answer

First equation y-intercept is 4 (where x =0).

Second equation x-intercept is 5 (where y = 0)

So, the points this new line passes through are (0,4) and (5,0).

Now, find the equation of this line as you would find for any two points.

waheguru · Answer

I see

waheguru · Answer

So it's a straight line?

waheguru · Answer

Horizontal or vertical

anonymous · Answer

Yes.

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anonymous · Answer

Always best to mark the points in a coordinate plane and connect to get a visual sense of the line and its direction.

waheguru · Answer

The slope is 4/5 but is the x intercept also 5, making the equation y=4/5x + 5

waheguru · Answer

But according to the answers, this is wrong?

anonymous · Answer

Welll....slope is -4/5. 

You should use "y intercept" not "x intercept" for the constant.