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scZoUnD [109]
2 years ago
8

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

Mathematics
1 answer:
stealth61 [152]2 years ago
4 0

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.

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