Question

draw the graph of the following linear equations, also find the point of intersection of the graph with the x-axis and y-axis : 3x+5y = 15​

Answer 1

Given:- Draw the graph of the following linear equations, also find the point of intersection of the graph with the x-axis and y-axis : 3x+5y = 15

Answer:- [ For graph refer to attachment : ]

From the graph its visible that the line of 3x+5y=15 intersects x - axis at (5,0) and y axis at (3,0 ) .

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[ Graph made using Graphing calculator on Desmos .]

Answer 2

Given: The equation$3x+5y=15$.

We have to find the point of intersection of the graph with the x-axis and y-axis and draw the graph of the given equation.

To find the point of intersection of the graph with the x-axis we put $y=0$and for the y-axis we put$x=0$.

We have the equation$3x+5y=15$

For X-axis:

$=>3x+5y=15\\=>3x+5\times0=15\\=>3x=15\\=>x=\frac{15}{3} \\\\=>x=5$

For Y-axis:

$=>3x+5y=15\\=>3\times0+5y=15\\=>5y=15\\\\=>y=\frac{15}{5} \\\\=>y=3$

Hence, the $x$and$y$ intercepts are$(5,0) and (0,3)$.