Gradient= -3/2 Equation: Y=mx+c Y=2 , X=8
So you substitute the numbers in
2=(-3/2) x 2 + c (then you backtrack to solve for c which is the y intercept)
2=-3+c
5=c So the equation should be Y=-3/2x+5
Answer:
see explanation
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 )
here m = - [tex]\frac{3}{2}[/tex], thus
y = - [tex]\frac{3}{2}[/tex] x + c ← is the partial equation
To find c substitute (8, 2) into the partial equation
2 = - 12 + c ⇒ c = 2 + 12 = 14
y = - [tex]\frac{3}{2}[/tex] x + 14 ← equation in point- slope form
