Question

1. Write an equation for a line in slope intercept form that passes through (0,5) and has a slope of 2

Answer 1

Answer:

equation of line: y = 2x + 5

Explanation:

     using the formula:

• y - y1 = m(x - x1)

• y - 5 = 2(x - 0)

• y - 5 = 2x

• y = 2x + 5

Answer 2

Solution:

Note that:

• Slope = m = 2
• Given point: (0,5)
• Formula: y - y₁ = m(x - x₁)

Use the formula to find the equation of the line.

• y - 5 = 2(x - 0)
• => y = 2(x - 0) + 5
• => y = 2x - 0 + 5
• => y = 2x + 5

The equation of the line is y = 2x + 5.