Step 1
<u>Find the slope of the given line</u>
we have
Isolate the variable y
Subtract both sides
Divide by both sides
the slope of the given line is
Step 2
Find the equation of the line that passes through the point and is parallel to the given line
we know that
if two lines are parallel, then their slopes are equal
The equation of the line into point-slope form is equal to
we have
substitute in the equation
or
therefore
<u>the answer is</u>
or
Answer:
B'(16,14)
Step-by-step explanation:
First find the coordinates of the vertex B. The center of the square M is the midpoint of the diagonal AC. Since A(2,7) and C(8,1), the center has coordinates
Point M is also the midpoint of the diagonal BD. Let B has coordinates (x,y), then
Hence, B(8,7).
Now, the dilation by a scale factor 2 with the center of dilation at the origin has the rule
(x,y)→(2x,2y).
Thus,
B(8,7)→B'(16,14).
The slope is 2. The y-intercept is 4.
Explanation:
The line constantly goes up to units for every unit that it goes to the right. The y intercept is 4 because it is 4 on the y-axis when x is 0.
Answer:
7/23
Step-by-step explanation: