Write an equation in slope intercept form of the line that passes through (-5, 19) and (5, 13

Use the equation y-y1 = m(x-x1). Slope = m which can be solved by taking the difference of y and dividing it by the difference of x. Therefore m = 6/-10 which simplifies to -3/5. Then plug m into the equation with either point so for example y-(-5) = (-3/5)(x-19). This then simplifies into y = (-3/5)x + (32/5) which is the final answer.