Question

Write an equation for the line described in standard form with x-intercept 4 and y-intercept 5

Answer 1

Answer:

Equation$( \frac{5}{4}) x + y = 5$ 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  =  $\frac{y_2 - y_1}{x_2-x_1 } = \frac{5 -0}{0-4} = -\frac{5}{4}$

Now, the SLOPE INTERCEPT FORM of an equation is :

y  = mx + b: here m  = slope and b =  y- intercept

or, $y =-( \frac{5}{4}) x + 5$

Now, standard form is Ax +By = C

So, the standard form is $( \frac{5}{4}) x + y = 5$

Hence, the above equation $( \frac{5}{4}) x + y = 5$

is in the standard dorm.