Question

Y = 7x + 3
Find the x and y intercepts of the line

Answer 1

The x-intercept of the line is
`-(3)/(7)`

The y-intercept of the line is 3

Explanation:

If the equation of a line is y = m x + b, then

• The x- intercept is the value x at y = 0, (that means, the line intersect the x-axis at point (x, 0)

• The y-intercept is the value of y at x = 0, (that means, the line intersect the y-axis at point (0, y)

Let us use these facts to solve the question

∵ y = 7x + 3

→ Substitute y by 0 to find the x-intercept

∵ y = 0

∴ 0 = 7x + 3

→ Subtract 3 from both sides

∵ 0 - 3 = 7x + 3 - 3

∴ -3 = 7x

→ Divide both sides by 7 to find x

∵
`-(3)/(7)` =
`(7x)/(7)`

∴
`-(3)/(7)` = x

∴ The x-intercept of the line is
`-(3)/(7)`

∵ y = 7x + 3

→ Substitute x by 0 to find the y-intercept

∵ x = 0

∴ y = 7(0) + 3

∴ y = 0 + 3

∴ y = 3

∴ The y-intercept of the line is 3