Write an equation in​ slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (-7,-4); y = -5x+2

Answer 1

General form for slope-intercept is y = mx + b (m is slope, b is y-intercept)

Original equation: y = -5x + 2, so slope of new equation must also be -5. Only the b term must change to meet requirement to pass through point (-7, -4), so let's solve for the new b term.

-4 = -5(-7) + b → -4 = 35 + b

b = -39

New equation is y = -5x - 39. You can check it on the Desmos Graphing Calculator site.

Answer 2

y+4 = -5(x+7) in point slope form

or

5x+y = -39 in standard form

or

5x +y +39 = 0 in general form

or

y = -5x -39 in slope intercept form,

slope=-5, intercept=-39 or the point (0,-39)

slope = the coefficient of the x term when the linear equation is solved for y. Any parallel line has the same slope.