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Write the equation of the line in fully simplified slope-intercept form.

Write the equation of the line in fully simplified slope-intercept form.-example-1
User Giohji
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5 votes

Answer:

y = -5/3x -7

Explanation:

You want the slope-intercept equation of the line that goes through points (-3, -2) and (0, -7).

Slope

The slope is given by the formula ...

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

m = (-7 -(-2))/(0 -(-3)) = -5/3 . . . . . . use the given point coordinates

Intercept

The y-intercept is the point on the y-axis, where the y-value is -7.

Slope-intercept form

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

y = mx +b . . . . . . . line with slope m and y-intercept b

y = -5/3x -7 . . . . . . line with slope -5/3 and y-intercept -7

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