Write an equation in point-slope form of the line that passes through the point $\left(-2,\ 1\right)$ and has a slope of $\frac{1}{4}$ . The equation is $y-$ $=$ $\text{(}x-$ $\text{)}$ .

Answer 1

A lot of extraneous characters showed up in your question, but I think the last part says you want the equation in the slope-intercept form (y = mx + b). However, the first part of your question says that you want the equation in point-slope form (y - y₁) = m(x - x₁).

The given information is the point (-2, 1) and the slope m = (1/4)

Here are both forms of the equation!

The previous tutor already gave the correct point-slope form of the equation:

y - (1) ₌ 1

x - (-2) 4

The equation in slope-intercept form can be found by modifying the above equation a bit.

Multiply both sides of it by (x - (-2)) in order to get closer to the y being alone on the left.

y - (1) = (1/4)(x - (-2))

Multiply the 1/4 through both terms on the right.

y - (1) ₌ x _- (-2)

4 4

Simplify a bit.

y - 1 ₌ x + 1

4 2

Add (+1) to both sides to get the y completely alone.

y = (1/4)x + 1 1/2 (This # is meant to say "one and a half.")

This is the slope-intercept form of the equation.

Answer 2

(y - 1) / (x - (-2)) = 1 / 4, point slope form.