Answered

IDNLearn.com connects you with a community of experts ready to answer your questions. Join our interactive community and access reliable, detailed answers from experienced professionals across a variety of topics.

Write an equation of a line that is perpendicular to y=-2x+6 and passes through (-4,7)

Sagot :

Yoonglsleftfootidn

Answer: y= x/2+9

Step-by-step explanation:

The equation of the line in the slope-intercept form is y=6−2x.

The slope of the perpendicular line is negative inverse: m=1/2.

So, the equation of the perpendicular line is y=x/2+a.

To find a, we use the fact that the line should pass through the given point: 7=(1/2)⋅(−4)+a.

Thus, a=9.

Therefore, the equation of the line is y=x/2+9.

Answer: y=x/2+9.

We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. IDNLearn.com has the solutions you’re looking for. Thanks for visiting, and see you next time for more reliable information.