Answer:
The x-intercept of the line is [tex]-\frac{3}{7}[/tex]
The y-intercept of the line is 3
Step-by-step explanation:
If the equation of a line is y = m x + b, then
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
∵ [tex]-\frac{3}{7}[/tex] = [tex]\frac{7x}{7}[/tex]
∴ [tex]-\frac{3}{7}[/tex] = x
∴ The x-intercept of the line is [tex]-\frac{3}{7}[/tex]
∵ 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
