Question

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Answer 1

Since the lines are perpendicular Product of their Slopes = -1 ie m1*m2 = -1

Answer 2

4y = −x + 4

y = -x/4 + 1

Slope = -1/4

Answer 3

-1/4 * m2 = -1

m2 = 4

Answer 4

nw Use Pont Slope Form

(−7, 4)

y-y1=m(x-x1)

y-4 = 4(x+7)

y = 4x +32

Answer 5

You have to find the equation at (−7, 4), you have the points but you don't have the gradient, because to form an equation you need coordinates and gradient \((y-y_1)=m(x-x_1)\)
From the equation given we can find the gradient,
4y = −x + 4
y= -x/4 +1
gradient is -1/4, since its perpendicular, so, \(m_1m_2=-1\)
Gradient = 4
Now you have the gradient and coordinate (-7,4),
Use \((y-y_1)=m(x-x_1)\) to construct a new equation at that point (-7,4).