Question

What the answer to this question I can’t figure it out

Answer 1

Given:

Q (0, 1)

R (2, 7)

Let's determine the equation of the line in Slope-Intercept Form.

Step 1: Let's determine the slope (m).

`\text{ Slope = m = }(y_2-y_1)/(x_2-x_1)`
`=\text{ }\frac{\text{ 7 - 1}}{\text{ 2 - 0}}\text{ = }\frac{\text{ 6}}{\text{ 2}}`
`\text{ Slope = 3}`

Step 2: Let's determine the y-intercept (b). Substitue m = 3 and x, y = 0,1 in y = mx + b.

`\text{ y = mx + b}`
`\text{ 1 = 3(0) + b}`
`\text{ 1 = 0 + b}`
`\text{ b = 1}`

Step 3: Let's now complete the equation. Substitute m = 3 and b = 1 in y = mx + b.

`\text{ y = mx + b}`
`\text{ y = (3)x + (1)}`
`\text{ y = 3x + 1 }\rightarrow\text{ y - 1 = 3x}`

Therefore, the answer is letter B: y - 1 = 3x