Answer:
y = 5x + 6
Step-by-step explanation:
parallel lines have equal slopes, implying that the slope of the new line will be 5 as well.
The equation of this new line in slope intercept form is;
y=5x+c
We determine c by using the point where this new line passes through, that is the point (1, 11)
11=5(1)+c
c=6
The equation is thus;
y = 5x + 6
Answer:
y = 5x+6 is equation of line that is parallel to y=5x−7 and passes through (1, 11).
Step-by-step explanation:
We have given a equation.
y = 5x−7 and (x₁,y₁) = (1,11)
We have to find the equation which is parallel to given equation and passing through the given point.
y-y₁ = m(x-x₁) is equation of line where m is slope.
Given equation have slope equal to 5.
Parallel lines have equal slopes.
Hence, m = 5
Putting the value sin equation of line, we have
y-11 = 5(x-1)
y-11 = 5x-5
y = 5x-5+11
y = 5x+6 is equation of line that is parallel to y=5x−7 and passes through (1, 11).
