find the point slope form of the line within the given slope which passes through the indicated point.

Slope $=1 / 4$ line passes through the the point $(-2,4)$
Write an equation for the line in point slope form.

Question

find the point slope form of the line within the given slope which passes through the indicated point.

Slope $=1 / 4$ line passes through the the point $(-2,4)$
Write an equation for the line in point slope form.

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ Identify the given slope and point. The slope is $\frac{1}{4}$ and the point is $(-2, 4)$. ‖ ‖ step 2 ⋮ Use the point-slope form of the equation of a line, which is $y - y_1 = m(x - x_1)$. Here, $m = \frac{1}{4}$, $x_1 = -2$, and $y_1 = 4$. ‖ ‖ step 3 ⋮ Substitute the given values into the point-slope form: $y - 4 = \frac{1}{4}(x - (-2))$. ‖ ‖ step 4 ⋮ Simplify the equation: $y - 4 = \frac{1}{4}(x + 2)$. ‖ ∻Answer∻ ⚹ The point-slope form of the line is $y - 4 = \frac{1}{4}(x + 2)$. ⚹ ∻Key Concept∻ ⚹Point-Slope Form⚹ ∻Explanation∻ ⚹The point-slope form of a line is used to write the equation of a line when you know the slope and a point on the line.⚹◊What is the formula for the point-slope form of a linear equation in terms of slope $m$ and point $(x_1, y_1)$?⍭ Generate me a similar question◊

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