Question

What is the equation of the line shown in the graph?

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Drag and drop the expressions to write the equation of the line in slope-intercept form.


y = Response area + Response area


The points are -3,1 and 2,-4

Answer 1

y = -x + (-2)

Explanation:

You want the equation of the line through points (-3, 1) and (2, -4).

Slope

The slope of the line is given by the formula ...

m = (y2 -y1)/(x2 -x1)

m = (-4 -1)/(2 -(-3)) = -5/5 = -1

Intercept

The y-intercept is the point on the y-axis where the line crosses. It is -2.

If you want to calculate it, you can use the formula ...

b = y1 -m(x1)

b = 1 -(-1)(-3) = 1 -3 = -2

Slope-intercept form

The slope-intercept form of the equation of a line is ...

y = mx + b . . . . . . . . slope m, y-intercept b

y = -x + (-2) . . . . . . . line with slope -1 and y-intercept -2

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Additional comment

We would ordinarily write this in slope-intercept form as ...

y = -x -2

In standard form, it is ...

x + y = -2

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