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

Mathematics

1 answer:

Strike441 [17]2 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:

#LearnwithBrainly

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