Answer:
m = 2/3
b = -3
Step-by-step explanation:
Rearrange the equation to slope-intercept form (y = mx + b).
x and y are points on the graph.
m is the slope.
b is the y-intercept.
Isolate "y". This means separating it from the other numbers.
-2x +3y = -9
-2x + 2x +3y = -9 + 2x Add 2x to both sides
3y = 2x - 9
3y/3 = 2x/3 - 9/3 Divide both sides by 3
y = 2x/3 - 9/3 Simplify
y = (2/3)x - 3
Think about which numbers and "m" and "b" now that the equation is in y = mx + b. Include the plus and minus signs.
m = 2/3
b = -3
Answer:
The distance is 5
Step-by-step explanation:
You can use the distance formula or Pythagorean theorem for this
Answer:
not a function
Step-by-step explanation:
for example
In order for an equation to represent a function any single value of x must have at most one corresponding value of y which satisfies the equation.
For x2+y2=9
XXXXif (for example) x=0
XXXXthere are two values for y (namely +3 and −3) which satisfy the equation
and therefore the equation is not a function.
Answer:
No
Step-by-step explanation:
If the lines are perpendicular then they will be the negative reciprocals of each other.
Calculate the slope using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = P(- 8, - 10) and (x₂, y₂ ) = Q(- 5, - 12)
= 
= - 
Repeat the process with
(x₁, y₁ ) = R(9, - 6) and (x₂, y₂ ) = S(17, - 5)
= 
= 
The slopes are not the negative reciprocal of each other, thus they are not perpendicular.
Answer:
y =7
x =14
Step-by-step explanation:
Since this is a right triangle we can use trig functions
tan 30 = opp /adj
tan 30 = y/ 7 sqrt(3)
7 sqrt(3) tan 30 = y
7 sqrt(3) * 1/ sqrt(3) =t
7 =y
sin 30 = opp/ hyp
sin 30 = 7/x
x sin 30 =7
x = 7/ sin 30
x = 7 / 1/2
x = 14
