Question 59576
A line passes through (-4,2) and has the same y-intercept as 2x-y=3.  Put this in standard form.
This is a thinker.
To find the y-intercept of the equation of a line you can let x=0 and solve for y.
2(0)-y=3
0-y=3
-y=3
-(y)=-(3)
y=-3  The y-intercept is (0,-3)
To find an equation of a line we need a slope and a point.  We don't have a slope, but we do have two points.  We can find the slope between two points with the slope formula: {{{highlight(m=(y2-y1)/(x2-x1))}}}
(x1,y1)=(-4,2) and (x2,y2)=(0,-3)
{{{m=(-3-2)/(0-(-4))}}}
{{{m=-5/4}}}
Now we can use the slope, m=-5/4 and the y-intercept (0,b)=(0,-3)  To make an equation of a line with the slope intercep formula {{{highlight(y=mx+b)}}}, m=slope, and (0,b) is the y-intercept.
{{{highlight(y=(-5/4)x-3)}}}
Happy Calculating!!!