Asked by Lucille

Can you please help me with this problem:

The x-intercept of a line has a value of -3/2 and a y intercept of 3. Another line has a slope that is three times the slope of the first line and has a y-intercept that is 28 more than the first line's y-intercept. What is the solution to this system of equation?

I am very confused...please help
x-intercept -3/2 (3/2 , 0)
Answered by Reiny
for 1st line:
two points are (-3/2, 0) and (0,3)
slope = (3-0)/(0+3/2)
= 3/(3/2) = 2

so equation of 1st line is y = 2x + 3

2nd line:
slope = 3(2) = 6
y intercept = 3 + 28 = 31
equation of 2nd line: y = 6x + 31

intersection:
6x + 31 = 2x+3
4x = -28
x = -7
then y = 2(-7) + 3 = -11
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