Hey there!
To start, the slope intercept equation format is y=mx+b where m=the slope and b=the y-intercept.
Because you appear to have a coordinate set to plug in for x and y as well as a slope of 4, you can plug your known values into the slope intercept equation:
y=mx+b
coordinate: (1,6)
y=6 (the y value of the coordinate point)
x=1 (the x value of the coordinate point)
m=4 (the slope of the equation, given)
6=4(1)+b
Because b, your y-intercept is your only missing value, you can simplify your equation and solve for b:
6=4(1)+b
6=4+b
b=2
Now that you have your two needed values, your slope and your y-intercept, your final equation should be y=4x+2, or the third choice.
Hope this helps and I hope you have a wonderful rest of your day! :)
Answer:
See explanation
Step-by-step explanation:
Statements Reasons
1.
Given
2.
As alternate interior angles when parallel lines AD and BC intersect by ltransversal BD
3.
Given
4.
Reflexive property
5.
SAS postulate
6.
Corresponding parts of congruent triangles are congruent
7.
Inverse alternate interior angles theorem
It is prime, it has no factors besides 1,23