Answer
A) y = x - 7
Step-by-step
Part 1: Convert to slope-intercept form
The equation -x + y = 5 has to be converted from standard form to slope-intercept form before we can begin solving this problem. The slope-intercept form is y = mx + b, where m is the slope of the line and b is its y-intercept. To convert it, just get y by itself on the left side.
-x + y = 5
y - x = 5
y - x + x = 5 + x
y = 5 + x
y = x + 5
This equation tells us the slope of the line (1) and the line's y-intercept (5)
Part 2: Find the equation of the line that is parallel to y = x + 5 and passes through the point (2, -5)
Parallel lines have equal slopes, so the slope of the line we are looking for will be 1 (or just x). So we can rule out answer choice D because it has a slope of -1 (or -x). To find the y-intercept for the line, we need to find the point where x = 0. We can work backwards with the rise over run method to find this point.
m = rise / run = change in y / change in x
1 = 1 / 1
We can use this information to perform a series of transformations (down 1 unit then left 1 unit) that will bring us to the y-intercept.
(2, -5) --> (1, -6)
(1, -6) --> (0, -7)
The point (0, -7) has an x-coordinate of 0, which means that the line intercepts the y-axis at this point.
The slope of the desired line is 1 and its y-intercept is -7.
Part 3: Substitute into the slope-intercept equation
y = mx + b
m = slope = 1 = x
b = y-intercept = -7
y = x - 7
Answer:
Step-by-step explanation:
the graphs of the equation x=3 and y=3 intersect each other at point (3 , 3)
x = 3 is parallel to x-axis and y = 3 is parallel to y- axis
Answer:
1) 42
2) 41
Step-by-step explanation:
1) 7 + x = 49
Subtract 7 from both sides.
x = 49 - 7 = 42
2) 5 + x + 3 = 49
Combine like terms.
x + 8 = 49
Subtract 8 from both sides.
x = 49 - 8 = 41
Answer : The measurement of a central angle is,
Step-by-step explanation :
Formula used for angle subtended by an arc is:
where,
s = arc length =
r = radius =
Now put all the given values in the above formula, we get:
Thus, the measurement of a central angle is,
You have to divide the 5 and 5x by 5 add your variables together in alpha order=1