Question

Select the correct answer.If a line with a slope of -2 crosses the y-axis at (0, 3), what is the equation of the line?ОА.y-2x= 3B.-2y+3x=1Oc.y+ 3x= 2ODy + 2x= 3

Answer 1

We are asked to build the equation of a line with slope -2 and that crosses the y-axis at (0, 3)

So, we use the general form of a line in slope-y intercept form:

y = m x + b

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

In our case this becomes:

y = -2 x + 3 (using the values the problem provides)

Notice that from all the equations listed as possible answers there is only one that reduces to what we found. That is the very last option that reads:

y + 2 x = 3

because solving for y gives us (by subtracting 2x from both sides):

y = - 2 x + 3

which is exctly