Question

Write a linear equation that passes through the given two points.

(0, 1) and (5,3)

Answer 1

Y= 2/5x +1

Using the first point, you find the Y-intercept (y=mx+1)

Then plug the coordinates into the equation y2-y1/x2-x1

(y=2/5x+1). Hope this helps :))

Answer 2

Answer:

y = $\frac{2}{5}$ x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (0, 1 ) and (x₂, y₂ ) = (5, 3 )

m = $\frac{3-1}{5-0}$ = $\frac{2}{5}$

The line crosses the y- axis at (0, 1 ) ⇒ c = 1

y = $\frac{2}{5}$ x + 1 ← equation of line