Please help me out with this............

For the point-slope form of the equation, you need a point (given in the problem) and the slope. The slope can be calculated from the two points. It is ...

slope = (change in y)/(change in x) = (-28 -2)/(15 -30) = -30/-15

slope = 2

The point-slope equation for slope m through point (h, k) is ...

y -k = m(x -h)

you have m = 2, (h, k) = (30, 2). Putting the corresponding numbers into the appropriate places gives ...

y - 2 = 2(x - 30)

jimrgrant1 jimrgrant1 · Answer 2 · 2019-10-07T08:54:02+02:00

Answer:

y - 2 = 2(x - 30)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (30, 2) and (x₂, y₂ ) = (15, - 28)

m = [tex]\frac{-28-2}{15-30}[/tex] = [tex]\frac{-30}{-15}[/tex] = 2

Using (a, b) = (30, 2), then

y - 2 = 2(x - 30)