Respuesta :
Answer:
y=-4x+21
Step-by-step explanation:
1. Draw these points on a graph.
2. Point A is (4,5) and Point B is (7,-7).
3. You find the slope (gradient) by the Change in Height/ Change in Horizontal distance.
4. Now put that slope and one point into the "Point-Slope Formula"
5. Simplify Algebraically.
Answer:
y = - 4x + 21
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 = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, 5 ) and (x₂, y₂ ) = (7, - 7 )
m = [tex]\frac{-7-5}{7-4}[/tex] = [tex]\frac{-12}{3}[/tex] = - 4 , then
y = - 4x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (4, 5 )
5 = - 16 + c ⇒ c = 5 + 16 = 21
y = - 4x + 21 ← equation of line
