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