47.2k views
2 votes
what is the equation in point slope form for a linear function with a slop m = -4 that passes through the point (2,-7)

User JHBonarius
by
8.0k points

1 Answer

3 votes

hello

the slope of the line is given as m = -4

from a point (2, -7)

the standard equation of a straight line is given as

y = mx + b

where m = slope

b = intercept

now from the question, we have a point with coordinates (2, -7)

x = 2

y = -7

we can simply substitute it into the equation


\begin{gathered} y=mx+b \\ x=2 \\ y=-7 \\ m=-4 \\ (-7)=-4(2)+b \\ -7=-8+b \\ \text{collect liker terms} \\ -7+8=b \\ b=1 \end{gathered}

now with this above, we've established that our intercept is equal to 1

we can rewrite our equation of a straight line from y = mx + b to


y=-4x=1

User Kevin Bourrillion
by
8.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories