Answer:
4x+5y-34=0
Step-by-step explanation:
The slope-intercept form of a line is y=mx+b where m is the slope and b is the y-intercept.
My goal is to put in in this form first. Then I will aim to put it in general form, ax+by+c=0.
So let's give it a go:
m is the change of y over the change of x.
To compute this I'm going to line my points up and subtract vertically, then put 2nd difference over 1st difference. Like this:
( 1 , 6)
-(6 , 2)
----------
-5 4
So the slope is 4/-5 or -4/5.
So m=-4/5.
Now we are going to find b given y=mx+b and m=-4/5 and we have a point (x,y)=(1,6) [didn't matter what point you chose here].
6=-4/5 (1)+b
6=-4/5 +b
Add 4/5 on both sides:
6+4/5=b
30/5+4/5=b
34/5=b
So the y-intercept is 34/5.
The equation in slope-intercept form is:
y=-4/5 x + 34/5.
In general form, it is sometimes the goal to make all of your coefficients integers so let's do that. To get rid of the fractions, I'm going to multiply both sides by 5. This clears the 5's that were on bottom since 5/5=1.
5y=-4x+34
Now add 4x on both sides:
4x+5y=34 This is standard form.
Subtract 34 on both sides:
4x+5y-34=0
The original expression is equal to 0 because anything multiplied by 0 is equal to 0. Solve inside the brackets for the possible answer choices to find what will equal 0.
Start with the first expression. Add 4 and negative 4 will become 0, and -1 times 0 is equal to 0. Let's solve for the others just to be sure.
In the second expression, solving inside the brackets gives you 8. -1 times 8 is equal to -8.
Adding 4 and negative 4 in the third expression leaves you with 0. But, 1 + 0 is equal to 1.
Adding negative 4 and negative 4 gives you the answer of -8, and -1 times -8 is equal to 8.
Your answer is the first expression, or A.
When parallel lines are cut by a transversal, then alternate interior angles are congruent.
Angles PXY and XYS are alternate interior angles.
m∠XYS = m∠PXY
Answer:
m∠XYS = 64.36°
Answer:
y=3/5*x, A(0,0), B(1,3/5), C(2,6/5)
Step-by-step explanation:
A(5,3)=(x1,y1)....x1=5, y1=3
m=3/5
y-y1=m(x-x1)
y-3=3/5(x-5)
y-3=3/5*x-3/5*5
y-3=3/5*x - 3
y=3/5*x-3+3
y=3/5*x
x=0, y=3/5*x, y=3/5*0=0 A(0,0)
x=1, y=3/5*1=3/5 B(1,3/5)
x=2, y=3/5*2=6/5 C(2,6/5)
