Question

I don’t understand how too finddd thisss !! help meee

Answer 1

Answer:

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

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 the slope m of the given line using the slope formula

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

with (x₁, y₁ ) = A (- 2, 0 ) and (x₂, y₂ ) = B (4, 3 )

m = $\frac{3-0}{4-(-2)}$ = $\frac{3}{4+2}$ = $\frac{3}{6}$ = $\frac{1}{2}$

• Parallel lines have equal slopes , then

y = $\frac{1}{2}$ x + c ← is the partial equation

to find c substitute (- 5, - 2 ) into the partial equation

- 2 = - $\frac{5}{2}$ + c ⇒ c = - 2 + $\frac{5}{2}$ = $\frac{1}{2}$

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