Question

Please help me

Answer 1

A)

Because it uses the same line as RT, then you can get LN's slope by getting RT's slope.

Equation: (y₂ - y₁)/(x₂ - x₁)

Our case: (16-10)/(12-4) = 6/8 = 3/4

B)

Point-slope formula: y - y₁ = m(x - x₁)

We already have m, it's the slope. And we can choose whichever point from our graph, I'm gonna choose (4, 10)

Our case: y - 10 = 3/4(x - 4)

y - 10 = (3/4)x - 4(3/4)

y - 10 = (3/4)x - 3

y = (3/4)x + 7

Answer 2

Answer:

A: 4/3x B: 3/4x + 7

Step-by-step explanation:

Part A: Since LN shares the same line as RT, they will have the same slope.

R coord (4, 10)

T coord (12, 16)

Rise over run will get you 4/3x as the slope.

Part B: The line can be represented using y = mx+b

If we go back one place value from (4, 10), we get (0, 7). Making 7 our b. Since we got the slope from part A, all we have to do now is plug in.

Line C: 3/4x + 7