Question

Write the equation in point slope form given two points (-1,-7) and ( 2,5)

Answer 1

Point slope form formula is y-y1=m(x-x1)
First let’s find m which is slope
The formula for slope is y2-y1/x2-x1
With that you get 5-(-7)/2-(-1) that gives you 12/3=4
So m=4. Now we have all we need to plug in.
y-(-7)=4(x-(-1)
Y+7=4(x+1) is the equation in point slope form

Answer 2

To write the equation in point-slope form for the points (-1,-7) and (2,5), calculate the slope (m = 4) and then apply it to the formula y - y1 = m(x - x1), resulting in y + 7 = 4(x + 1).

Step-by-step explanation:

To write the equation of a line in point-slope form using the points (-1,-7) and (2,5), first calculate the slope. The slope is found by taking the difference in y-coordinates divided by the difference in x-coordinates:

m = (y2 - y1) / (x2 - x1)

m = (5 - (-7)) / (2 - (-1))

m = (5 + 7) / (2 + 1)

m = 12 / 3

m = 4

Now that we have the slope, we can write the equation in point-slope form. Assuming we use Point 1 (-1,-7), the point-slope equation is:

y - y1 = m(x - x1)

y - (-7) = 4(x - (-1))

y + 7 = 4(x + 1)

This is the equation in point-slope form, where (x1, y1) is the point (-1, -7) and m is the slope.