The given equation is:
ax + by = 12
We are given that the two points (6,0) and (3,2) belong to this line. This means that these two points satisfy the equation of the line.
Therefore, to get the value of a and b, we will substitute with the given points in the equation and solve the resulting equations for a and b as follows:
For the point (6,0):
ax + by = 12
a(6) + b(0) = 12
6a = 12
a = 12/6 = 2
For point (3,2):
ax + by = 12
(2)(3) + b(2) = 12
6 + 2b = 12
2b = 12-6 = 6
b = 3
Based on the above calculations:
a = 2 and b = 3, therefore, the equation is:
2x + 3y = 12
Answer:
The lines for each pair of equations are perpendicular, because the slopes for both of these have negative reciprocals.
Step-by-step explanation:
-5x+10y=5
x-2y=-1
2y=x-(-1)
2y=x+1
y=1/2x+1/2
Answer:
Slope = -3
Step-by-step explanation:
Slope intercept form: y = mx + b (where m is the slope).
Our line is parallel to y = -3x + 4. Since it's parallel, it will have the same slope.
