Question

Which line passes through the points (−4, –0.25) and (1.8, −3.15)?

Answer 1

`\boxed{\sf{y=-0.5x-2.25}}`

Explanation:

Use the slope formula and slope-intercept form.

Slope formula:

`\rightarrow \sf{(y_2-y_1)/(x_2-x_1) }`

Slope-intercept form:

`\sf{y=mx+b}`

m: slope

b: y-intercept

y₂=(-3.15)

y₁=(-0.25)

x₂=1.8

x₁(-4)

`\sf{(-3.15-\left(-0.25\right))/(1.8-\left(-4\right))}`

Solve.

`\sf{(-3.15-\left(-0.25\right))/(1.8-\left(-4\right))}=(-2.9)/(5.8)=-0.5`

So, the slope is -0.5.

The y-intercept is -2.25.

`\longrightarrow \boxed{\sf{y=-0.5x-2.25}}`

Therefore, the line passes through the points (-4,–0.25) and (1.8, −3.15) is y=-0.5x-2.25, which is our answer.

I hope this helps, let me know if you have any questions.