Answer:
f(x)= 3x + 1
Step-by-step explanation:
Let's set the unknown variable as b, since it's a linear equation.
Using the point given (-3, -8), we can find b by plugging in the known numbers and solving.
-8 = -3 (3) + b
-8 = -9 + b
b = 1
If you want, you can check it by forming the complete equation and plugging in -3.
f(x)= 3x + 1
f(-3) = -9 + 1
f(-3) = -8 = -8
I hope this helped!
Answer:
1/2
Step-by-step explanation:
Pick two points on the line
(2,0) and (4,1)
Use the slope formula
m= (y2-y1)/(x2-x1)
= (1-0)/(4-2)
= 1/2
Answer:
a. Parallel
b. Not parallel
Step-by-step explanation:
Systems which have no solutions are parallel lines. These lines do not intersect and therefore have no solution. Remember, parallel lines have the same slope. Compare the slope in each equation when in y=mx+b format to see if they are parallel.
a. y= 2x + 3 y-2x=-3 becomes y = 2x - 3
m = 2 m= 2
The slopes are the same so these are parallel lines.
b. 3x + y = 2 becomes y= -3x + 2 y = 1/3 x + 1/2
m = -3 m= 1/3
The slopes are different so this is not parallel.
Since -3 and 1/3 are the negative reciprocals of each other. These lines are actually perpendicular.
Answer:
Step-by-step explanation:
vertex is 1 units left.
y is always positive.
y=|x+1|
