Maths-

General

Easy

Question

Which of the following is an equation of line $ell$ in the xy -plane above?

x-y = -4
x-y=4
x+y= -4
x x+y=4

hint Hint:

Hint:
The point-slope form of any line is $open parentheses y minus y subscript 1 close parentheses equals m open parentheses x minus x subscript 1 close parentheses.$ .

The correct answer is: x+y= -4

Explanation:

We have given a graph of a straight line that cut the coordinate axis at points $left parenthesis 0 comma 4 right parenthesis semicolon left parenthesis 4 comma 0 right parenthesis$

We have to find the equation of the given line

We will first find the slope of the line, and then using the slope point form we can easily make the equation of the line
Step 1 of 2:
The two given points on the line are $left parenthesis 0 comma 4 right parenthesis semicolon left parenthesis 4 comma 0 right parenthesis$
Now the slope of the line will be
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell m equals fraction numerator 4 minus 0 over denominator 0 minus 4 end fraction end cell row cell equals fraction numerator 4 over denominator negative 4 end fraction end cell row cell equals negative 1 end cell end table$
Now using the point-slope form $y minus y subscript 1 equals m open parentheses x minus x subscript 1 close parentheses$
We will write an equation

$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell y minus 0 equals m left parenthesis x minus left parenthesis negative 4 right parenthesis right parenthesis end cell row cell y equals negative 1 left parenthesis x plus 4 right parenthesis end cell row cell y equals negative x minus 4 end cell row cell y plus x equals negative 4 end cell end table$

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Can’t find what you’re looking for?

Which of the following is an equation of line in the xy -plane above?

x-y = -4x-y=4x+y= -4x x+y=4

Hint:The point-slope form of any line is .

The correct answer is: x+y= -4

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Which of the following is an equation of line $ell$ in the xy -plane above?

x-y = -4
x-y=4
x+y= -4
x x+y=4

Hint:
The point-slope form of any line is $open parentheses y minus y subscript 1 close parentheses equals m open parentheses x minus x subscript 1 close parentheses.$ .