Question

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

Answer 1

Answer:

The x-intercept of the line is $-\frac{3}{7}$

The y-intercept of the line is 3

Step-by-step 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

∵ $-\frac{3}{7}$ = $\frac{7x}{7}$

∴ $-\frac{3}{7}$ = x

∴ The x-intercept of the line is  $-\frac{3}{7}$

∵ 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