Slope-intercept form

\( \bullet \; \) Find the slope-intercept form of the line passing through point \(P(3, 2)\) with a slope of \(m = -4\).

\( \bullet \; \) Determine the equation of the line with slope \(m = \displaystyle \frac{1}{2}\) and \(y\)-intercept at \((0, 3)\) in slope-intercept form.

\( \bullet \; \) Given the equation of a line as \(y = 2x + 5\), express it in slope-intercept form.

\( \bullet \; \) Calculate the slope-intercept equation for the line passing through points \(A(2, 4)\) and \(B(-3, -1)\).

\( \bullet \; \) Convert the equation \(3y - 2x = 6\) into slope-intercept form.

\( \bullet \; \) Express the line with a slope of \(m = -3\) and \(y\)-intercept at \((0, -7)\) in slope-intercept form.

\( \bullet \; \) Find the slope-intercept equation for the line parallel to \(y = 4x - 1\) passing through point \(C(1, 2)\).

\( \bullet \; \) Determine the slope-intercept form of the line perpendicular to \(y = \displaystyle \frac{1}{3}x + 2\) with \(y\)-intercept at \((0, 5)\).

\( \bullet \; \) Given the equation \(2y + 4x = 8\), express it in slope-intercept form.

\( \bullet \; \) Calculate the slope-intercept equation for the line passing through points \(D(4, 3)\) and \(E(-2, 7)\).

ANSWERS

\( \bullet \; y = -4x + 14\)

\(\bullet \; y = \displaystyle \frac{1}{2}x + 3\)

\(\bullet \; y = 2x + 5\)

\(\bullet \; y = x + 2\)

\(\bullet \; y = \frac{2}{3}x + 2\)

\(\bullet \; y = -3x - 7\)

\(\bullet \; y = 4x - 2\)

\(\bullet \; y = -3x + 5\)

\(\bullet \; y = -2x + 4\)

\(\bullet \; y = \displaystyle -\frac{2}{3}x + \displaystyle \frac{17}{3}\)