Y = -3x + 2 A line goes through the point (2,5) and is parallel to the line above, answer the
following:
a, what is the equation of the line that goes through these points in Slope-i
Intercept Form.
b. What is the x-intercept?
c. What is the y-intercept

Step-by-step explanation:

a, what is the equation of the line that goes through these points in Slope-intercept Form?  

If two lines are parallel, their slopes are equal.  Thus the new line has the same slope as does the old one:  m = -3.  We adapt the slope-intercept form y = mx + b to 5 = (-3)(2) + b and find that b = -11.  Then the desired equation is y = -3x - 11.  This is in slope-intercept form.

b. What is the x-intercept?  Start with the above y = -3x - 11.  Set y = 0 and solve the result, 0 = -3x - 11, for x:  x = -11/3.  Then the x-intercept is (-11/3, 0); this is the point at which the graph crosses the x-axis.

c. What is the y-intercept:  Set x = 0 in the above equation.  We get y = -11.

The y-intercept is thus (0, -11).

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step-by-step explanation:

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