Question

What choice is the equation of a line that has a y-intercept of 7 and is parrallel to the represented by this equation

Y=6x-5

Answer 1

`\text{The slope form of the linear function:}\\\\y=mx+b\\\\m-\text{the slope}\\b-\text{y-intercept}`

`k:y=m_1x+b\\l:y=m_2x+c\\\\l\ ||\ k\iff m_2=m_1\\\\\text{therefore if}\\k:y=6x-5,\ \text{and}\ l:y=mx+b\\\\l\ ||\ k\iff m=6`

`m=6;\ b=7\\\\\text{Answer: y=6x+7}`