'a/b' is an integer when 'b' is a factor of 'a'.
1)
Given two points: (x₁,y₁) and (x₂,y₂) the slope of the line passing through these points would be:
m=(y₂-y₁)/(x₂-x₁)
Data:
We have two points, (-3,4) and (2,-1), therefore, the slope of the line passing through these points will be:
m=(-1-4) /(2+3)=-5/5=-1
Answer: The slope would be -1.
2)
slope-intercept form of a line:
y=mx+b
m=slope
b=y-intercept
Therefore:
m=2
b=y-intercept=-4
The line would be: y=2x-4
answer: the equation of this line would be: y=2x-4
Answer:
hard, search on internet as I don't know this
Answer:
a = -1/2
b = 2
Step-by-step explanation:
Step 1: Rewrite 1st equation
-b = -5 - 6a
b = 5 + 6a
Step 2: Substitution
4a - 3(5 + 6a) = -8
Step 3: Solve
4a - 15 - 18a = -8
-14a - 15 = -8
-14a = 7
a = -1/2
Step 4: Plug in <em>a</em> to find <em>b</em>
6(-1/2) - b = -5
-3 - b = -5
-b = -2
b = 2