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!