Question

Will give BRAINLIEST this is the full question please show work. Easy

Answer 1

Answer:

$4x-y-11=0$

or

$y = 4x -11$

Step-by-step explanation:

• Equation of given line is: y = 4x - 7
• Comparing it with: y = mx + b, we find: slope (m) = 4
• Required line is parallel to the line y = 4x - 7
• SLopes of parallel lines are equal.
• -> slope of required line (m) = 4
• Required line passes through the point (3, 1)
• $\implies x_1= 3,\: y_1= 1$
• Equation of line in point slope form is $y-y_1= m(x-x_1)$
• Plugging the values of m, $x_1,\: and\: y_1$ in the above equation, we find:

$y-1= 4(x-3)$

$y-1= 4x-12$

$\implies -1+12= 4x-y$

$\implies \red{\bold{ 4x-y-11=0}}$

or

$\purple{\bold{y = 4x -11}}$

Answer 2

Answer:

$y = 4x - 11$

Step-by-step explanation:

Parallel lines have the same slope.

$1 = 4(3) + b$

$1 = 12 + b$

$b = - 11$

$y = 4x - 11$