Answer:
y=-2x+11
Step-by-step explanation:
equation of a line
y-b=m(x-a)
m=-2
a=3
b=5
sub into the equation
y-5= -2(x-3) multiply out the brackets and a negative multiply by negative equals positive
y-5=-2x+6
y=-2x+11
or
2x+y-11=0
Answer:
y = -5x - 21
Step-by-step explanation:
Given in the question,
equation of a parallel line
y = -5x + 6
point through which it passes
(-4,-1)
Step1
Find the gradient of the equation given, as it is parallel so it will have same gradient
equation of straight line
y = mx + c
where m is gradient
c is y intercept
y = -5x + 6
m =-5
Step2
Find y-intercept
-1 = -5(-4) + c
-1 = 20 + c
c = -20 - 1
c = -21
Step3
form the equation
y = -5x - 21
If you graphed the equation: y = 5
You would put a straight line going horizontally through 5. Like this picture shows. If it were x = 5, for example, then it would go up and down through 5.
Let me know if this helped! Have a nice day!