Slopes Help

Question

Slopes intercept form of 3x+2y=7,

Find x intercept on graph of line y=3x+6,

Find slope and y Intercept on graph of line 5x-3y=6,

Slopes of line that passes through points (2,3)(-5,3)  and (2,3)(2,-5)

 

Answer 1

Slope intercept form:  y = mx +b

Given 3x + 2y = 7, solve for y

 

2y = -3x + 7

y = (-3/2)x + 7/2

 

X intercept is the point where y = 0

y = 3x + 6

0 = 3x + 6

3x = -6

x = -2

point (-2, 0)

 

slope and y intercept of 5x-3y=6

For slope put in y=mx +b form

or given ax + by = c then m = -a/b

m = -5/-3 = 5/3

 

y-intercept;  set y = 0

5x -3(0)=6

5x = 6

x = 6/5

point (6/5, 0)

 

Slope of a line through two points

(x₁, y₁), (x₂, y₂) = rise/run = (y₂-y₁)/(x₂1₎

 

(2,3), (-5.3):

 m = (3-3)/(-5-2) = 0/(-7) = 0

horizontal line through y = 3

 

(2,3), (2,-5):

m = (-5-3)/(2-2) = -8/0 is undefined

Vertical line through x=2