write a slope equation with the points 10,10 and 3,45

3 answers

To find the slope between two points (x1, y1) and (x2, y2), you can use the formula:

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

Given the points (10, 10) and (3, 45), we can substitute these values into the slope equation:

slope = (45 - 10) / (3 - 10)

Simplifying this expression further:

slope = 35 / -7

The slope equation with the points (10, 10) and (3, 45) is:

slope = -5
write a slope equation with the points 10,10 and 3,45

A. (y-10)=-5(x+10)

B. (y-3)=-5(x-45)

C.(y+10)=-5(x-10)

D.(y-45)=-5(x-3)
To find the slope equation, we first need to find the slope (m) between the two points (10, 10) and (3, 45).

Using the slope formula: m = (y2 - y1) / (x2 - x1)

Substituting the coordinates:
m = (45 - 10) / (3 - 10)
m = 35 / -7
m = -5

Now, we can use the point-slope form of a linear equation y - y1 = m(x - x1) where (x1, y1) is one of the points.

Using the point (10, 10):

y - 10 = -5(x - 10)

Expanding:
y - 10 = -5x + 50

Rearranging to standard form:
y + 5x = 60

Therefore, the slope equation with the points (10, 10) and (3, 45) is:

C. (y + 5x) = 60