Question

please help me with these questions

Answer 1

3. Answer: y = 4

Step-by-step explanation:

Need to find the slope (m):

  $\dfrac{y_2-y_1}{x_2-x_1}$

  $\dfrac{4 - 4}{-3-1}$

= $\dfrac{0}{-4}$

= 0

Now input ONE of the points (1, 4) and the slope (m = 0) into the Point-Slope formula:

y - y₁ = m(x - x₁)

y - 4 = 0(x - 1)

y - 4 = 0

y      = 4

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4. Answer: $\bold{y = \dfrac{2}{3}x + 3}$

Step-by-step explanation:

 $y - y_1 = m(x - x_1)$

 $y - 1 = \dfrac{2}{3}(x - (-3))$

 $y - 1 = \dfrac{2}{3}(x + 3)$

 $y - 1 = \dfrac{2}{3}x + 2$

 $y = \dfrac{2}{3}x + 3$