Question

Find the value of k so that 3x -ky=8 makes an angle of 45° with X axis.

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Answer 1

y = mx + c

It is the standard form of a line with m being its slope and c a constant.

also m = tan@

@ is angle made with x axis

here

3x - ky = 8

ky = 3x + 8

y = (3/k)x + 8/k

NOW

tan@ = 3/k

for @ = 45

tan @ = 1

=》 k = 3

hope it helps.

Answer 2

The value of k are k = 3.

What is example of standard form?

• The standard form for linear equations in two variables is Ax+By=C.
• For example, 2x+3y=5 is a linear equation in standard form.
• When an equation is given in this form, it's pretty easy to find both intercepts (x and y).
• This form is also very useful when solving systems of two linear equations.

According to the question:

y = mx + c.

It is the standard form of a line with m being its slope and c a constant.

also m = tanθ.

θ is angle made with x axis.

Here,

3x - ky = 8.

ky = 3x + 8.

y = (3/k)x + 8/k.

NOW,

tanθ = 3/k.

for θ= 45.

tanθ = 1.

k = 3.

Hence, the value of k are k = 3.

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