Question

What is the equation in standard form of the line shown on the graph?

The equation of the line in standard form is
x + y =.

Answer 1

3x+-4=12

Explanation:

EDGE 21

Answer 2

Answer: The required equation of the graphed line is
`3x-4y=12.`

Step-by-step explanation: We are given to find the equation in standard form of the line shown on the graph.

From the graph, we note that

the line passes through the points (4, 0) and (0, -3).

We know that

the slope of a line passing through the points (a, b) and (c, d) is given by

`m=(d-b)/(c-a).`

So, the slope of he graphed line is given by

`m=(-3-0)/(0-4)=(-3)/(-4)=(3)/(4).`

Since (4, 0) is one of the points on the line, so the equation of the graphed line will be

`y-0=m(x-4)\\\\\Rightarrow y=(3)/(4)(x-4)\\\\\\\Rightarrow 4y=3x-12\\\\\Rightarrow 3x-4y=12.`

Thus, the required equation of the graphed line is
`3x-4y=12.`