Turn the equation into linear equation which is y=-5/6x+5.so the y-intercept is 5
Answer: yes it is a true statement
Step-by-step explanation:
-12 is the same as -12
y=3x+1
Use the slope-intercept form to find the slope and y-intercept
The slope-intercept form is y=mx+b
, where m is the slope and b
is the y-intercept.
y=mx+b
Find the values of m
and b using the form y=mx+b
.
m=3
b=1
The slope of the line is the value of m
, and the y-intercept is the value of b
.
Slope: 3
Y-Intercept: 1
Any line can be graphed using two points. Select two x
values, and plug them into the equation to find the corresponding y
values.
Choose 0
to substitute in for x
to find the ordered pair.
Replace the variable x
with 0
in the expression.
f(0)=3(0)+1
Simplify the result.
Tap for more steps...
1
The first point is (0,1)
.
(0,1)
Choose 1
to substitute in for x
to find the ordered pair.
Tap for fewer steps...
Replace the variable x
with 1
in the expression.
f(1)=3(1)+1
Simplify the result.
Multiply 3
by 1
.
f(1)=3+1
Add 3
and 1
.
f(1)=4
The final answer is 4
.
4
The second point is (1,4)
.
(1,4)
Create a table of the x
and y
values.
xy0114
Graph the line using the slope and the y-intercept, or the points.
Slope: 3
Y-Intercept: 1
xy0114
Answer:
A'B' = 34 units
Step-by-step explanation:
Since the dilatation is centred at the origin , then multiply the coordinates by 2
A' = (2(0), 2(- 7) = (0, - 14 )
B' = (2(8), 2(8) = (16, 16)
Calculate the length using the distance formula
d = 
with (x₁, y₁ ) = A'(0, - 14) and (x₂, y₂ ) = B'(16, 16)
d = 
= 
= 
= 
= 34