Question

A line passes through the point (-4,-2) and has a slope of 3 . write an equation

Answer 1

Hello !

Answer:

`\large \boxed{\sf y=3x+10}`

Explanation:

The slope-intercept form of a line is of the form
`\sf y=mx+b` where m is the slope and b is the y-intercept.

Given :

• m = 3

Let's substitute m with its value :

`\sf y=3x+b`

Moreover, we know that the line passes through the point (-4,-2).

Let's replace x and y whith -4 and -2 in the previous equation :

`\sf -2=3(-4)+b\\\sf -2=-12+b`

Let's solve for b !

Add 12 to both sides :

`\sf -2+12=-12+12+b\\\underline{\sf b=10}`

The slope-intercept form of the equation is
`\sf y=3x+10`.

Have a nice day ;)