A line with a slope of -2 crosses the y-axis at (0, 3). The equation of the line is _

1. -3x + y = 3

2. 3x + y = 2

3. 2x + y = 3

4. 2x + y = 2

This question is quite simple if you remember slope-intercept form! The answer choices you have are in standard form...

Personally, I think slope-intercept form is easier to use, and then you can convert later. It’s a bit more work, but much easier and you will make less mistakes!

Slope-Intercept form is y = mx + b, where m is the slope and (0, b) is the y-intercept.

Let’s use the info from the problem and put it Into the equation!

START: slope = -2 = m; y-Intercept = (0, 3) = b
Put these values in the equation: y = (-2)x + (3)

The slope-intercept equation is y = -2x + 3, now we have to convert to standard form!

Add 2x to both sides to cancel it out on the right: y + 2x = 3

Put the “x” term first: 2x + y = 3

And there you have it! Your final answer is 2x + y = 3, which is option 3

I recommend you learn all the forms of linear equations (slope-intercept, standard, point-slope, etc.) and practice converting between forms!

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