Question

Write the equation of the line shown

Answer 1

The straight line equation is :

$\boxed {y = mx + c}$

Here, c = 1 as it intersects (0, 1) on the y-axis.

The slope is :

• m = 1 ÷ 2
• m = 0.5

Hence, the equation will be :

y = 0.5x + 1

I hope it helped you solve the problem.

Good luck in your studies!

Answer 2

Answer:

y = $\frac{1}{2}$ 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 ) = (- 2, 0) and (x₂, y₂ ) = (0, 1) ← 2 points on the line

m = $\frac{1-0}{0-(-2)}$ = $\frac{1}{0+2}$ = $\frac{1}{2}$

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

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