Answer:
Part 1) The x-intercept is the point (-6,0)
Part 2) The y-intercept is the point (0,2)
Step-by-step explanation:
we know that
The x-intercept is the value of x when the value of y is equal to zero
The y-intercept is the value of y when the value of x is equal to zero
we have
Part 1) Find the x-intercept
For y=0
substitute the value of y in the linear equation and solve for x
The x-intercept is the point (-6,0)
Part 2) Find the y-intercept
For x=0
substitute the value of x in the linear equation and solve for y
The y-intercept is the point (0,2)
Answer: (2,6) ; 2sqrt10 units
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 
x + 5 ← is in slope- intercept form
with slope m = -
Parallel lines have equal slopes, thus
y = - x + c ← is the partial equation of the line
To find c substitute (6, 3) into the partial equation
3 = - 4 + c ⇒ c = 3 + 4 = 7
y = - x + 7 ← equation of line
As far as can see there are 2 correct methods shown, although there are other more efficient ways to solve this.
The 2 correct methods shown are:
and
The reason for this is because if we want to solve for "x", we must first isolate it. Normally we would isolate the "y variable", but because there is none in this equation we have to automatically assume that the "y" value has been given to us.
If you would like to see the math behind these 2 solutions I'll be more than happy to add it, if I can still edit my answer at that point in time. Also if you find out that this answer is wrong please tell me in the comments below, and I promise that I will come back and rework my math. Thanks!
