Question

Find the equation that goes through (1,2) and (5,8)

Next: Use Point-Slope Form
The slope is 3/2
Use the point (5, 8)
Point Slope Form: y - y = m(x - x)
Y-
11
(x -

Answer 1

The equation of the line passing through (1,2) and (5,8) using the point-slope form is y - 8 = 3/2(x - 5).

Step-by-step explanation:

The objective is to find the equation of a line that passes through the points (1,2) and (5,8) using the point-slope form of a linear equation. The given slope is 3/2, which we will use along with the point (5, 8) to write the equation.

The point-slope form of an equation is y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is a point on the line. In this case, the equation becomes:

y - 8 = ¹⁄₂(x - 5)

This equation can also be manipulated into slope-intercept form, which is y = mx + b, to find the y-intercept and provide another representation of the same line.