# How do I write an equation for the line passing through (-2,4) and (-3,3)?

##### 2 Answers

#### Explanation:

#"the equation of a line in "color(blue)"slope-intercept form"# is.

#•color(white)(x)y=mx+b#

#"where m is the slope and b the y-intercept"#

#"to calculate m use the "color(blue)"distance formula"#

#•color(white)(x)m=(y_2-y_1)/(x_2-x_1)#

#"let "(x_1,y_1)=(-2,4)" and "(x_2,y_2)=(-3,3)#

#rArrm=(3-4)/(-3-(-2))=(-1)/(-1)=1#

#rArry=x+blarrcolor(blue)"is the partial equation"#

#"to find b substitute either of the 2 given points into"#

#"the partial equation"#

#"using "(-2,4)" then"#

#4=-2+brArrb=4+2=6#

#rArry=x+6larrcolor(red)"in slope-intercept form"#

y=1x+6

#### Explanation:

So here we'll use the formula y=kx+m which is a linear equation.

To get k we have to have to points and then take y1-y2/x1-x2, so let me show you with maths.

So now we know k = 1 so now we have

And now we can put in on of the two points you gave us so either (-2,4) (-3,3). I personally put in (-3,3) just because.

so we get:

Now we can solve M

And now we have the entire formula which i:

You can double check my by putting in on of your points in the equation.

Hopes this helps!