Answer:
y = [tex]\frac{1}{2}[/tex] 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 = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, 1) ← 2 points on the line
m = [tex]\frac{1-0}{0-(-2)}[/tex] = [tex]\frac{1}{0+2}[/tex] = [tex]\frac{1}{2}[/tex]
the line crosses the y- axis at (0, 1 ) ⇒ c = 1
y = [tex]\frac{1}{2}[/tex] x + 1 ← equation of line
The straight line equation is :
[tex]\boxed {y = mx + c}[/tex]
Here, c = 1 as it intersects (0, 1) on the y-axis.
The slope is :
Hence, the equation will be :
y = 0.5x + 1
I hope it helped you solve the problem.
Good luck in your studies!