Question

Linear equation

Answer 1

Answer:

see explanation

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = $\frac{1}{2}$ and (a, b) = (3, - 2) , thus

y - (- 2) = $\frac{1}{2}$ (x - 3) , that is

y + 2 = $\frac{1}{2}$( x - 3) ← in point- slope form

(b)

The equation of a line in slope- intercept form is

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

Here m = $\frac{1}{2}$ , thus

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

To find c substitute (3, - 2) into the partial equation

- 2 = $\frac{3}{2}$ + c ⇒ c = - 2 - $\frac{3}{2}$ = - $\frac{7}{2}$

y = $\frac{1}{2}$ x - $\frac{7}{2}$ ← in slope- intercept form