why: To form an linear equation for a line, you must remember 2 things ****First find its gradient, second, find the y-intercept. General equation for a line: y = mx + c, where m = gradient, and c = y-intercept. Gradient, m = {7 - (-5)} / {(-3) - 1} = - 3 To find the y-intercept, you must use one of the point (-3, 7) or (1, -5) and substitute the value of x and y from the coordinate u choose into the general equation y = mx + c. I choose (1, -5), so -5 = -3(1) + c -5 = -3 + c -5 + 3 = c -2 = c Thus, the equation in slope-intercept form is y = -3x - 2. the equation in standard form is y + 3x + 2 = 0 the equation in point-slope form is y + 3x = -2 divide both sides with -2 y / (-2) + 3x / (-2) = -2 / -2 - y / 2 - x / (2/3) = 1