Answer:
y= 3x -5
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+b, where m is the gradient and b is the y-intercept.
Let's rewrite the equation of the given line in the form of y=mx+b, so we can find its gradient.
y +2= 3(x -1)
y +2= 3x -3 <em>(</em><em>expand</em><em>)</em>
y= 3x -3 -2
y= 3x -5
Gradient of given line= 3
Gradient of unknown line= 3,
since parallel lines have the same gradient.
Susbt. m=3 into the equation:
y= 3x +b
Substitute a coordinate to find the value of b.
When x= 1, y= -2,
-2= 3(1) +b
-2= 3 +b
b= -2 -3 <em> </em><em>(</em><em>-3</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
b= -5 <em>(</em><em>simplify</em><em>)</em>
Thus the equation of the line is y= 3x -5.
Answer:
4 3/4
Step-by-step explanation:
Answer:
The graph is shifted 1 unit right
The graph is shifted 2 units down
Step-by-step explanation:
We are given
Parent function as
New function as
we can also write as
We can see that
1 is subtracted to x-value
and 2 is added to y-value
So, f(x) is shifted right by 1 unit
and
f(x) is shifted up by 2 unit
3 groups of 5 tenths equals 1.5. 1.5/3 = 0.5. The answer is five tenths.
Answer:
Below in bold.
Step-by-step explanation:
4x + y = 9
Let's put x = 0 then:
4(0) + y = 9
0 + y = 9
y = 9
So one. ordered pair that is a solution is (0, 9)