The first step of writing an equation when given two points is the same for both strategies, slope-intercept or point- slope forms. What would be the first step in finding the equation of the line that passes through (5, 1) and (3, 5)?
O create a graph using the two points
O find the slope
O find the y-intercept
O substitute one point's coordinates into either form

answer: 15

step-by-step explanation:

can i see the following ?

step-by-step explanation:

b

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 ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b