(Solved): 2.2d Find Linear Equations Learning Objectives - Find equation of a line, in slope-intercept form, ...

2.2d Find Linear Equations Learning Objectives - Find equation of a line, in slope-intercept form, given slope and one point (pointslope formula) - Find equation, in slope-intercept form, of a line passing through two given points - Given slope and intercept, find the equation of a line and write it in standard form - Find the equation of vertical and horizontal lines Learning Objective: Find equation of a line, in slope-intercept form, given slope and one point (point-slope formula) Given the slope, \( \mathrm{m} \), and a point, \( \left(\mathrm{x}_{1}, \mathrm{y}_{1}\right) \), the point-slope form is \( y-y_{1}=m\left(x-x_{1}\right) \). Example 1: Find the equation of a line passing through \( (-4,1) \) and slope of \( -\frac{5}{4} \), Learning Objective: Find equation, in slope-intercept form, of a line passing through two given points Example 2: Find the equation of a line passing through \( (-5,-2) \) and \( (3,-9) \).