Question

What is the equation in point-slope form of the line passing through (-2, -5) and (2, 3)

Answer 1

Hello there! :)

Point-slope form of a line is in the format of ...
y - k = m(x - h)
or you might have also learned it as
\(y - y_1 = m(x - x_1)\)
both are the same :)

Answer 2

the h and k come from a given point of the format (h, k)
same with the \(x_1\) and \(y_1\) which come as \((x_1 , y_1)\)

in this case, the given points are (-2, -5) and (2, 3)
either one of these points would work for our (h, k) or \((x_1, y_1)\)

Answer 3

m in the equation is the slope
> same as it was in the slope-intercept form (y=mx+b) that I'm assuming you have already learned ^_^"

Answer 4

Now that we have covered what the point-slope form is and what each part of it is, we can proceed to try to fill in the form :)

Answer 5

the first step is to find the slope (m)

\(\large {slope} = \huge {\frac{y_2 - y_1}{x_2 - x_1}}\)
when given the points \((x_1,y_1)\) and \((x_2,y_2)\)

so when we have (-2, -5) and (2, 3)
we can easily plug it into this slope function and get our slope :)

Answer 6

knowing all this, you can try plugging either of the points given in the question
and the slope you find
and get your answer ^_^

if you still need help, feel free to tag me with @Angle ! Good Luck :)