Question

read the instructions first and answer the questions​

Answer 1

Answer:

answer for the given problem is given

Answer 2

❥︎Solution :-

❥︎Answer :- 1

Lines are x + 2y = 7......(1) and x - y = 4........(2)

For line (1)

$\bf\implies \:2y = 7 - x$

$\bf\implies \:y = - \dfrac{1}{2} x + \dfrac{7}{2}$

On comparing with y = mx + b, we get

$\bf\implies \:m_1 = - \dfrac{1}{2} , b_1 = \dfrac{7}{2}$

For line (2)

$\bf\implies \:y = x - 4$

On comparing with y = mx + b, we get

$\bf\implies \:m_2 =1 , b_2 = - 4$

$\bf\implies \:m_1 ≠ m_2 , b_1≠b_2$

❥︎Answer :- 2

Lines are x - y = 4.....(1) and 3x - y = 2........(2)

For line (1)

$\bf\implies \:y = x - 4$

On comparing with y = mx + b, we get

$\bf\implies \:m_1 =1 , b_1 = - 4$

For line (2)

$\bf\implies \:y = 3x - 2$

On comparing with y = mx + b, we get

$\bf\implies \:m_2 =3 , b_2 = - 2$

$\bf\implies \:m_1 ≠ m_2 , b_1≠b_2$

❥︎Answer :- 3

Lines are x + y = 2......(1) and x + y = 4........(2)

For line (1)

$\bf\implies \:y = - x + 2$

On comparing with y = mx + b, we get

$\bf\implies \:m_1 = - 1 , b_1 = 2$

For line (2),

$\bf\implies \:y = - x + 4$

On comparing with y = mx + b, we get

$\bf\implies \:m_2 = - 1 , b_2 = 4$

$\bf\implies \:m_1 = m_2 , b_1≠b_2$

❥︎Answer :- 4

Lines are 4x + 2y = 8.......(1) and 6x + 3y = 12........(2)

For line (1)

$\bf\implies \:2y = - 4x + 8$

$\bf\implies \:y = - 2x + 4$

On comparing with y = mx + b, we get

$\bf\implies \:m_1 = - 2 , b_1 = 4$

For line (2)

$\bf\implies \:3y = - 6x + 12$

$\bf\implies \:y = - 2x + 4$

$\bf\implies \:m_2 = - 2 , b_2 = 4$

$\bf\implies \:m_1 = m_2 , b_1 = b_2$

❥︎Answer :- 5

Lines are 4x - 6y = 8.....(1) and 2x - 3y = - 2........(2)

For line (1)

$\bf\implies \:6y = 4x - 8$

$\bf\implies \:y = \dfrac{2}{3} x - \dfrac{4}{3}$

$\bf\implies \:m_1 = \dfrac{2}{3} , b_1 = - \dfrac{4}{3}$

For line (2)

$\bf\implies \:3y = 2x + 2$

$\bf\implies \:y = \dfrac{2}{3} x + \dfrac{2}{3}$

$\bf\implies \:m_2 =\dfrac{2}{3} , b_2 = \dfrac{2}{3}$

$\bf\implies \:m_1 = m_2 , b_1≠b_2$

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❥︎Answer :- 1

We can find the value of m and b, by reducing the equation to slope intercept form, y = mx + b.

❥︎Answer :- 2

The slope and y-intercept values indicate characteristics of the relationship between the two variables x and y. The slope indicates the rate of change in y per unit change in x. The y-intercept indicates the y-value when the x-value is 0.

❥︎Answer :- 3

By evaluating the values of m and b, after reducing each of them to slope intercept form.

❥︎Answer :- 4

No