Step-by-step explanation:
we first find the gradient
when y1=-4, x1=-5 and y2=1, x2=4
gradient={(y2-y1)÷(x2-x1)}
gradient={1-(-4)}÷{4-(-5)}
gradient=(1+4)÷(4+5)
gradient=5÷9 OR 0.5555
To find the equation interm of x
we substitute for the gradient in the formula
y-y1=gradient (x-x1)
y-(-4)=(5÷9)(x-×-5)
y+4=(5÷9)(x+5)
y+4=(5x+25)÷9 Cross multiply ✖️
9(y+4)=(5x+25)(1)
9y+36=5x+25 collect like terms
9y=5x+25-36
9y=5x-11 divide both sides by 9
y=(5x-11)÷9.......ans
