Answer to Question #134419 in Analytic Geometry for Ronnie Rafanan

Question #134419
Determine the x and y intercept of the line whose equation is 2x-3y- 5/4 =0.
1
Expert's answer
2020-09-24T15:07:03-0400

2x3y5/4=02x-3y- 5/4 =0

y=8x512y=\dfrac{8x-5}{12}

The y- intercept of the line in point A(0,y1)A(0,y_1)

Consider A(0;y1)A(0;y_1) in y=8x512y=\dfrac{8x-5}{12}


y1=80512=512y_1=\dfrac{8*0-5}{12}=-\dfrac{5}{12}

A(0,512)A(0,-\dfrac{5}{12})


The x- intercept of the line in point B(x1,0)B(x_1,0)

Consider B(x1,0)B(x_1,0) in y=8x512y=\dfrac{8x-5}{12}


0=x185120=\dfrac{x_1*8-5}{12}

x185=0x_1*8-5=0

x1=58x_1=\dfrac{5}{8}

B(58,0)B(\dfrac{5}{8},0)


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