Answer to Question #297016 in Algebra for austyn

Question

Find an equation of the line through (3,4) and parallel to y=3x−4. Write the equation using function notation.

Answer 1

Gradient of the line is the x- coefficient of

y= mx +c

y=3x+c

When x=3 , y=4

$4=9+c$ $\implies$ $c=-5$

$\therefore$ $f(x)=3x-5$