Question

Line k has the equation y=-4x+3 Line L is parallel to line k but passes through the point (-1, -3) Find an equation for line L in both point-slope form and slope-intercept form. An equation for l in point-slope form is. An equation for & in slope-intercept form is

Answer 1

the slope-intercept form of a line is

$y=mx+b$

where m is the slope and b is the y-intercept

Line k

y=-4x+3

line l is parallel to line k which means the line have the same slope

m=-4

the equation for l in the point-slope form with the point given (-1,-3) is

$(y+3)=-4(x+1)$

the equation for l in slope-intercept form is the equation above but we need to isolate the y variable

$y=-4x-7$