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adell [148]
3 years ago
5

Determine the intercepts of the line. -4x + 7 = 2y - 3

Mathematics
1 answer:
Strike441 [17]3 years ago
5 0

x- intercept = 5/2

y - intercept = 5

Step-by-step explanation:

the intercepts of a line are found by plugging in x=0 and y = 0

For x-intercept, we put y = 0

and

For- y-intercept we put  =0

Given equation is:

-4x + 7 = 2y - 3\\Putting\ y = 0\\-4x + 7 = 2(0) - 3\\-4x+7 = -3\\-4x = -3-7\\-4x = -10

Dividing both sides by -4

\frac{-4x}{-4} = \frac{-10}{-4}\\ = \frac{5}{2}

Putting x = 0

-4x + 7 = 2y - 3\\-4(0)+7 = 2y -3\\7 = 2y-3\\7+3 = 2y\\2y = 10

Dividing both sides by 2

\frac{2y}{2} = \frac{10}{2}\\y = 5

So,

x- intercept = 5/2

y - intercept = 5

Keywords: Intercepts, lines

Learn more about intercepts at:

  • brainly.com/question/12954015
  • brainly.com/question/12932203

#LearnwithBrainly

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