Please help me with this question

Question

Use the points (1, -3) and (5, 9) for the following problems. a. Determine the slope between the two points above using the slope formula. Show all work.

b. Use the slope from part (a) and one point from above to write the equation in point-slope form.

Answer 1

Given the coordinates above (1, -3) and (5, 9) just use the Formula to calculate m, the slope

slope = m = (y₂ - y₁)/(x₂ - x₁)

After you calculate the slope m then just choose one set of coordinates in the Point Slope Form

y - y₁ = m(x - x₁)

Just plug in the values from the coordinates, give it a try.

If you have any questions send me a message.

Answer 2

A)

Slope: m = (y₂-y₁)/(x₂-x₁)

(1, -3) = (x₁, y₁)

(5, 9) = (x₂, y₂)

m = (9 - (-3))/(5-1)= 12/4 = 3

B)

Point slope formula: y-y₁=m(x-x₁)

Where y₁ are x₁ are just a pair of points on the line(Can pick either (1,-3) or (5,9)).

Final Answer: y-9=3(x-5)