Question

Questions 5 and 6 please!
formula: y = ax + q

Answer 1

• Since √3√3 is equal to 1 , you simply rearranged the way it was written. The value of the simplified fraction stays the same

Answer 2

5) y = 1x + 2

6) y = -0.5x + 6

Step-by-step explanation:

5)

Given points are (-3, -1), (2, 4)

`\sf slope \:formula: (y_2 - y_1)/(x_2- x_1) = (\triangle y)/(\triangle x) \ \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points`

Here, find slope:

`\rightarrow \sf slope \ (a) = (4-(-1))/(2-(-3)) = (5)/(5) = 1`

Find Equation:

y = ax + q

Here found that a = 1, take (x, y) = (-3, -1)

`\sf -1 = 1(-3) + q`

`\sf q - 3 = -1`

`\sf q = -1 + 3`

`\sf q = 2`

So, in total equation:

y = 1x + 2

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6)

Given points are (-2, 7), (2, 5)

`\sf slope \:formula: (y_2 - y_1)/(x_2- x_1) = (\triangle y)/(\triangle x) \ \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points`

Here, find slope:

`\rightarrow \sf slope \ (a) = (5-7)/(2-(-2)) = -0.5`

Find Equation:

y = ax + q

Here found that a = -0.5, (x, y) = (-2, 7)

`\sf 7 = -0.5(-2) + q`

`\sf 7 = 1 + q`

`\sf q = 7-1`

`\sf q = 6`

So, in total equation:

y = -0.5x + 6