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HELP PLEASE Find an equation of the line graphed. Write the equation in standard form.

HELP PLEASE Find an equation of the line graphed. Write the equation in standard form-example-1
User Frank Henard
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2 Answers

23 votes
23 votes

Answer: 3x+y=4

Explanation:

look at the graph and where the points are

User Matt Brunmeier
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3.1k points
18 votes
18 votes

Answer:

3x +y = 4

Explanation:

You want the standard-form equation of the line that passes through points (0, 4) and (1, 1).

Slope-Intercept form

The slope of the line is readily identified from the graph. From the y-intercept at (0, 4), the line decreases 3 grid squares for each 1 grid square to the right. The slope is ...

m = rise/run = -3/1 = -3

The y-intercept is (0, 4), so the slope-intercept equation is ...

y = mx +b . . . . . line with slope m and y-intercept (0, b)

y = -3x +4

Standard form

The standard form of the equation of a line is ...

ax +by = c

where a, b, c are mutually prime, and the leading coefficient is positive.

We can get this form from the slope-intercept form by adding the opposite of the x-term to both sides:

3x +y = -3x +3x +4 . . . . . 3x added to both sides

3x +y = 4 . . . . . . . . . simplify to standard form

User Shakthi
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3.1k points