Equation of a straight line (see attached)

y = 2x - 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 =

with (x₁, y₁ ) = A(4, 7) and (x₂, y₂ ) = B(2,3)

m = = = 2 , thus

y = 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 3), then

3 = 4 + c ⇒ c = 3 - 4 = - 1

y = 2x - 1 ← equation of line

d

step-by-step explanation:

d

so, converting firstly the mixed fractions to improper fractions and then "adding".