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

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

Solution:

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

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

Finding x-intercept:

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

Finding y-intercept:

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

(1,4) is on graph of f(x)

f(1) = 4

so 1/4 f(x)

1/4 f(1)

1/4. ×4

1

so point for function 1/4. f(x) is (1,1)

take it another