Question

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

Answer 1

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`