A system of equations consists of a line s of the equation y = x – 5 and a line t that passes through the points (0, 2) and (8, –4). Answer the questions about line t to write the equation. What is the slope of line t? What is the y-intercept of line t? What is the equation in slope-intercept form of line t?
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given,
y=x-5
let,
A=(x1,y1)=(0,2)
B=(x2,y2)=(8,-4)
Slope=y2-y1/x2-x1
slope=m=-4-2/8-0 = -6/8
m=-3/4
The other line" t":-
y=mx+c
y=-3/4(x)+c
4y=-3x+c
3x+4y=c
A(0,2) passes through it
3(0)+4(2)=c
=>c=y intercept=8
The equation in slope intercept form is
4y=-3x+8
Hopefully it helps you.
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Answer:A system of equations consists of a line s of the equation y = x-5 and a line t that passes through the points
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