Question

How do you write (-2,-4),(-3,-3) into slope intercept form

Answer 1

Answer- $y=−3x+9$

Step-by-step explanation:

First, we will write and equation in point-slope form and then convert to slope-intercept form.

To use the point-slope form we must first determine the slope.

The slope can be found by using the formula :$m=y2−y1x2−x1$

Where $m$  is the slope and   $(x1,y1) and (x2,y2$)  are the two points on the line.

Substituting the values from the points in the problem gives:$m=3−−32−4m=3+32−4m=6−2=−3$

We can now use this calculated slope and either point to write the equation in point-slope form.

The point-slope formula states: $(y−y1)=m(x−x1)$

Where $m$  is the slope and  $(x1y1)$ is a point the line passes through.

Again, substituting gives:  $(y−−3)=−3(x−4) (y+3)=−3(x−4)$ We can now convert this to slope-intercept form.

The slope-intercept form of a linear equation is: $y=mx+b$

Where $m$ is the slope and $b$  is the y-intercept value.

We can solve our equation for $y:$

$(y+3)=−3(x−4) y+3=(−3×x)−(−3×4)y+3=−3x−(−12)y+3=−3x+12y+3−3=−3x+12−3y+0=−3x+9y=−3x+9$

This took me so long to type lol, hope this helps you and have a great day noon or night! <3   ❤️