Question 1144843

Find the slope-intercept form of an equation for the line that passes through (-1,2) and is parallel to y equals 2x-3.
<pre>Point slope form of a linear equation: {{{matrix(1,3, y - y[1], "=", m(x - x[1]))}}}
As the lines are parallel, their slopes are equal, so required equation will have slope, or m = 2
y - 2 = 2(x - - 1) ------ Substituting 2 for m (slope), and point (x, y) or (- 1, 2) in point slope form of a linear equation
y - 2 = 2(x + 1)
y - 2 = 2x + 2
{{{highlight_green(matrix(1,3, y, "=", 2x + 4))}}}