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Contact [7]
3 years ago
8

What are the x- and y-intercepts of the graph of -7x + 4y = -14

Mathematics
2 answers:
vampirchik [111]3 years ago
8 0

The x and y intercepts of graph -7x + 4y = -14 are 2 and -3.5 respectively

<u>Solution:</u>

Given, line equation is – 7x + 4y = - 14 ⇒ (1)

We have to find x – intercept and y – intercept of given equation.

<em><u>Finding x-intercept:</u></em>

x – intercept is x value when line meets x axis. It is a point on the graph where y is zero

Then, y becomes 0, so put y = 0 in (1)

⇒ - 7x + 4(0) = - 14

⇒ - 7x = - 14

⇒ x = 2

So, x – intercept is 2

<em><u>Finding y-intercept:</u></em>

y – intercept is y value when line meets y axis. It is a point on the graph where x is zero

Then, x becomes 0, so put x = 0 in (1)

⇒ - 7(0) + 4y = - 14

⇒ 4y = - 14

⇒ y = -3.5

So, y – intercept is – 3.5

Hence, the x and y intercepts of line are 2 and -3.5 respectively

AlekseyPX3 years ago
6 0

Answer:

you can change x=0=>y=-7/2 or

y=0=> x=2

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