Question

What is the point-slope form of a line that has a slope of -4 and passes through point (1,-3)

Answer 1

Answer:

$y=-4x+1$

Step-by-step explanation:

To find the line you have to use the Point-slope form from two points of reference. Once the equation has been established, it's only a matter of replacing the variables with the according statemens of the problem.

Point-slope Form

$y-y1=m(x-x1)$

Where:

y= Output

x= Input

y1= y-coordinate point in the line

x1= x-coordinate point in the line

m= Slope

Replacement of data and resolution of the equation:

$y-(-3)=-4(x-1)$

$y+3=-4x+4$

$y=-4x+4-3$

$y=-4x+1$

Answer 2

Answer:

y + 3 = - 4(x - 1)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = - 4 and (a, b) = (1, - 3), hence

y - (- 3) = - 4(x - 1), thus

y + 3 = - 4(x - 1) ← in point- slope form