Graph the line that contains the point (-2,-5) and has a slope of 3/4

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∻Solution by Steps∻ ‖ step 1 ⋮ We start with the point-slope form of the equation of a line, which is $y - y_1 = m(x - x_1)$. Here, $m = \frac{3}{4}$, $x_1 = -2$, and $y_1 = -5$. ‖ ‖ step 2 ⋮ Substitute the given values into the point-slope form: $y - (-5) = \frac{3}{4}(x - (-2))$. ‖ ‖ step 3 ⋮ Simplify the equation: $y + 5 = \frac{3}{4}(x + 2)$. ‖ ‖ step 4 ⋮ Distribute $\frac{3}{4}$ on the right side: $y + 5 = \frac{3}{4}x + \frac{3}{2}$. ‖ ‖ step 5 ⋮ Isolate $y$ to get the equation in slope-intercept form: $y = \frac{3}{4}x + \frac{3}{2} - 5$. ‖ ‖ step 6 ⋮ Simplify the constant term: $y = \frac{3}{4}x - \frac{7}{2}$. ‖ ∻Answer∻ ⚹ The equation of the line is $y = \frac{3}{4}x - \frac{7}{2}$. ⚹ ∻Key Concept∻ ⚹Point-Slope Form of a Line⚹ ∻Explanation∻ ⚹The point-slope form of a line is used to find the equation of a line when given a point on the line and the slope. By substituting the given point and slope into the formula, we can derive the equation in slope-intercept form.⚹◊What is the equation of a line passing through the point (-2,-5) with a slope of 3/4? (Note: This question is related to graphing the line that contains the point (-2,-5) and has a slope of 3/4.)⍭ Generate me a similar question◊

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