Answer:
Equation[tex]( \frac{5}{4}) x + y = 5[/tex] is in the standard dorm.
Step-by-step explanation:
Here, the x - intercept = 4 , so ( 4,0) is a point on the line.
and the y - intercept = 5, so ( 0,5) is a point on the line.
So, the slope of the equation is given as = [tex]\frac{y_2 - y_1}{x_2-x_1 } = \frac{5 -0}{0-4} = -\frac{5}{4}[/tex]
Now, the SLOPE INTERCEPT FORM of an equation is :
y = mx + b: here m = slope and b = y- intercept
or, [tex]y =-( \frac{5}{4}) x + 5[/tex]
Now, standard form is Ax +By = C
So, the standard form is [tex]( \frac{5}{4}) x + y = 5[/tex]
Hence, the above equation [tex]( \frac{5}{4}) x + y = 5[/tex]
is in the standard dorm.
