Write an equation in slope-intercept form for a line which passes through (0,8), parallel to y =4x+7
General equation for line in slope intercept form is: y = mx + c where m is slope and c is y-intercept.
If line is parallel to y = 4x + 7 then it has the same slope, so m = 4
If it passes through (0, 8), the y-intercept is 8 (i.e. it's the value of y when x is 0), so c = 8
Hence y = 4x + 8