I need help with my math homework

Question

Problem 1: Write an equation in point-slope form for the line that has a slope of 1/3 and passes through (-2,8)

Problem 2: Write an equation in slope intercept form for the line that passes through (1,-2) and (3,4)

Problem 3: Write the slope intercept form of the equation of the line parallel to the graph of 2x+y=5 that passes through (-3,1)

Answer 1

Hi John,

 

y-y₁ = m(x - x₁)

 

y-8 = 1/3(x+2)

 

problem 2

 

first find slope

 

m = (4--2)/(3-1) = 6/2 = 3

 

y-4 = 3(x-3)

 

y-4 = 3x-9

 

y = 3x-5

 

Problem 3

 

the slope of line 2x+y=5

is found by solving for y

 

y = -2x + 5

 

slope =m =-2

 

use the same slope because the lines are parallel

 

y-1 = -2(x--3)

 

y-1 = -2x -6

 

y = -2x -5