Answer:
y = -³/2x + 3
Step-by-step explanation:
To find the equation of the line in slope-intercept form, y = mx + b, we need to finder the slope (m) and the y-intercept (b).
✔️Slope (m) = ∆y/∆x
Using two points on the line, (0, 3) and (2, 0),
Slope = (0 - 3)/(2 - 0) = -3/2
Slope (m) = -³/2
✔️y-intercept (b) = 3 (this is the y-cooordinate of the point where the line intercepts the y-axis)
✔️To write the equation, substitute m = -³/2 and b = 3 into y = mx + b
This:
y = -³/2x + 3
Answer:
Solutions are (1,2) and (-1/2,5)
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Step-by-step explanation:
y=6x^2-5x+1
y=-2x+4
<em>Substitute</em>
-2x+4=6x^2-5x+1
<em>Simplify</em>
0=6x^2-3x-3
<em>Solve by factoring</em>
(x-6/6)(x+3/6)=0
x-1=0, x+1/2=0
x=1, x=-1/2
<em>Plug x's into oringinal equation</em>
y=-2(1)+4, y=-2(-1/2)+4
y=-2+4, y=1+4
y=2, y=5
<em>Write out solutions</em>
(1,2) and (-1/2,5)
Answer:
Step-by-step explanation:
Represent the sofa with S and the love seat with L.
So, we have:
--- Total Cost
Required
Determine the value of L
Substitute 2L for S in the first equation.
Divide both sides by 3
<em>Hence, a love seat costs 117.0</em>
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<u>Using Graph</u>
See attachment for graph
S is plotted on the y-axis and L is on the x-axis.
The green line represents while the orange line represents
When the line of the graph is traced to the x-axis, we have:
