Question

Write an equation of the line with the given information. m. 4. A(-1.-5)

Answer 1

Answer:

An equation of the line with the given information with

m = 4 and point A(-1, -5) is:

• $y=4x-1$

Step-by-step explanation:

As the equation of a line in point-slope form is given by:

$y-y_1=m\left(y-x_1\right)$

where m is the slope.

Given:

• the slope m = 4

• the point A(-1, -5)

Substituting the values in the equation of a line in point-slope form

$y-y_1=m\left(x-x_1\right)$

$y\:-\:\left(-5\right)\:=\:4\:\left(x\:-\:\left(-1\right)\right)$

$y+5=4\left(x+1\right)$

subtract 5 from both the sides

$y+5-5=4\left(x+1\right)-5$

$y=4x-1$

Therefore, an equation of the line with the given information

with m = 4 and point A(-1, -5) is:

• $y=4x-1$