Sam wanted to find three consecutive even numbers that add up to 84. He wrote the equation k + (k + 2) + (k + 4) = 84. What does
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Answer:
The x-intercept of the line is
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
∵ =
∴ = x
∴ The x-intercept of the line is
∵ 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