SOLUTION: At what point does the line with the equation y=2x+3 intersect with the line with the equation y=-1/2x-7

Question 1022191: At what point does the line with the equation y=2x+3 intersect with the line with the equation y=-1/2x-7
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
y=2x+3 (RED LINE on graph)
(-1/2)x-7=y (GREEN LINE on graph)
.
Intersection when:
.
2x+3=(-1/2)x-7:
2.5x=-10
x=-4
.
y=2x+3
y=2(-4)+3
y=-8+3
y=-5
Intersection at (-4,-5)
.
CHECK:
y=(-1/2)x-7
y=(-1/2)(-4)-7
y=2-7
y=-5
.

RELATED QUESTIONS
Which equation represent the line with slope -2 that passes through the point (4,-1) Y=... (answered by josgarithmetic,vleith)

Find an equation for the line with given properties parallel to the line 2x-y=7... (answered by checkley77)

a circle of radius 5 with center at (2,7) has equation (x-2)squared+(y-7)squared=25. at... (answered by Alan3354)

find the equation of the line which passes through the point ( -2, 1 ) and is parallel to (answered by Alan3354,MathLover1)

Find the equation for the line that passes through the point (−3, −1)and that (answered by stanbon)

The lines y=4x-10 and y=x-1 intersect at the point T. Find the equation of the line with... (answered by MathLover1)

the lines y=3x+4 and y=2x+6 intersect at point m. line n goes through point m and is... (answered by josgarithmetic)

Where does the line (x; y; z) = (4; 2; 1) + t(-2;-1; 0), (t is an element of the Real... (answered by Fombitz)

Write the equation of the line with slope 2 through the point (4,7) in the point-slope... (answered by oberobic)