Answer:
y=(3/2)x + 1
Step-by-step explanation:
use formula y=mx+b
M is slope
B is y intercept
use point (2,4) for Y2 and X2, and point (0,1) for Y1 and X2 to find the slope.
(Y2(4) - Y1(1))/ (X2(2) - X1(0)) =
(4-1)/(2-0)= 3/2 for slope=M
y intercept is just the point found on the y axis (0,1) so it's just 1. B=1
so then plug in the numbers for the variables.
y=(3/2)x + 1
5x - 2y = 17
4x - 3y = 8
Try to change one of the equations to isolate a variable, so you can use the new equation and substitute it into the other equation.
5x - 2y = 17
-2y = 17 - 5x
y = -17/2 + 5/2x
Now plug this into the second equation
4x - 3(-17/2 + 5/2x) = 8
4x + 51/2 - 15/2x = 8
8/2x - 15/2x = 16/2 - 51/2
-7/2x = -35/2
x = 5
Plug this into either equation to find y
4x - 3y = 8
4(5) - 3y = 8
20 - 3y = 8
-3y = -12
y = 4
x = 5, y = 4