Question

A line passes through the points (2,4) and (6,10). what is the equation of the line? a. y=-7x- 11/2 b. y= 7/2 x-11 c. y= 7/2 x+11 d. y=- 7/2 x+ 11/2

Answer 1

To find the equation of a line passing through two given points, you can find the slope using the formula m = (y2 - y1) / (x2 - x1). The equation of the line passing through the given points is y = 3/2x + 1.

Step-by-step explanation:

To find the equation of a line passing through two given points, we can first find the slope (m) using the formula m = (y2 - y1) / (x2 - x1).

Let's use the points (2,4) and (6,10) to find the slope:

m = (10 - 4) / (6 - 2)

= 6 / 4

= 3/2

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

Let's use the point (2,4) and the slope 3/2:

y - 4 = (3/2)(x - 2)

Simplifying the equation:

y - 4 = 3/2x - 3

y = 3/2x - 3 + 4

y = 3/2x + 1

Therefore, the equation of the line passing through the points (2,4) and (6,10) is y = 3/2x + 1.