Question

63. Write the slope-intercept form of an equation of the line

Answer 1

the slope intercept form is y= -2.3x + 1

Answer 2

Answer:

y = - $\frac{7}{3}$ x + $\frac{5}{3}$

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 = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2, - 3) and (x₂, y₂ ) = (- 1, 4)

m = $\frac{4+3}{-1-2}$ = $\frac{7}{-3}$ = - $\frac{7}{3}$, thus

y = - $\frac{7}{3}$ x + c ← is the partial equation

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

Using (- 1, 4), then

4 = $\frac{7}{3}$ + c ⇒ c = 4 - $\frac{7}{3}$ = $\frac{5}{3}$

y = - $\frac{7}{3}$ x + $\frac{5}{3}$ ← equation of line