Question

I need heelllppppp plzzzz someone helllppp meee

Answer 1

Answer:

The equation of the line is y =  $-\frac{4}{5}$ x + $\frac{3}{5}$

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

• m is the slope

• b is the y-intercept

The rule of the slope is m = $\frac{y2-y1}{x2-x1}$ , where

• (x1, y1) and (x2, y2) are two points on the line

∵ A line passes through points (2, -1) and (-3, 3)

∴ x1 = 2 ad y1 = -1

∴ x2 = -3 and y2 = 3

→ Use the rule of the slope above to find the slope of the line

∵ m = $\frac{3--1}{-3-2}$ = $\frac{3+1}{-5}$ = $\frac{4}{-5}$

∴ m = $-\frac{4}{5}$

→ Substitute the value of m in the form of the equation above

∴ y =  $-\frac{4}{5}$ x + b

→ To find b substitute x and y in the equation by the coordinates of one  

   point of the given points

∵ x = 2 and y = -1

∴ -1 = $-\frac{4}{5}$ (2) + b

∴ -1 = $-\frac{8}{5}$ + b

→ Add $\frac{8}{5}$ t both sides

∵ -1 + $\frac{8}{5}$ = b

∴ $\frac{3}{5}$ = b

→ Substitute the value of b in the equation

∴ y = $-\frac{4}{5}$ x + $\frac{3}{5}$

∴ The equation of the line is y =  $-\frac{4}{5}$ x + $\frac{3}{5}$