Write an equation of the line that passes through the given point (-4,-2) and (-3,5)

Answer 1

To find the equation of the line that passes through the points (-4,-2) and (-3,5), we need to find the slope (m) of the line first.

The formula to find the slope of a line passing through two points (x1, y1) and (x2, y2) is given by:

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

Substituting the values from the given points (-4,-2) and (-3,5), we get:

m = (5 - (-2)) / (-3 - (-4))
m = 7 / (-3 + 4)
m = 7 / 1
m = 7

So the slope of the line passing through the points (-4,-2) and (-3,5) is 7.

Now, we can use the point-slope form of a line to write the equation. The point-slope form is given by:

y - y1 = m(x - x1)

Substituting the point (-4,-2) and the slope m = 7 into the equation, we get:

y - (-2) = 7(x - (-4))
y + 2 = 7(x + 4)
y + 2 = 7x + 28
y = 7x + 28 - 2
y = 7x + 26

Therefore, the equation of the line that passes through the points (-4,-2) and (-3,5) is y = 7x + 26.