Write the standard form of the equation of the line passing through (-5, 1) and is parallel to y = -2/5x -5

The equation of the line passing through (-5, 1) and is parallel to y = -2/5x -5 in standard form is 5y + 2x = -5How to find the equation of a line?The equation of a line can be represented in standard form or slope intercept form as follows;Slope intercept form,y = mx + bwherem = slopeb = y-interceptLine are parallel when they have the same slope.Therefore, the slope of the equation has a slope of - 2 / 5 x.The line passes through (-5, 1).Hence, let's find y-intercept.y = - 2 / 5 x + b1 = - 2 / 5 (-5) + b1  - 2 = bb = -1Therefore, y = -2 / 5x - 1.The equation in standard form should be in the form Ax + By = C.Hence,y + 2 / 5 x  = -15y + 2x = -5learn more on equation of a line here: https://brainly.com/question/9317111#SPJ1