Q##..15 Graph the equation. y= 4x - 3
1 answer:
Answer: Please, see the attached file.
Thanks.
Solution:
We can graph using the intercepts:
(1) y-intercept, when x=0
y=4x-3→y=4(0)-3→y=0-3→y=-3
Point=(x,y)=(0,-3)
(2) x-intercept, when y=0
y=4x-3→0=4x-3
Solving for x: Adding 3 both sides of the equation:
0+3=4x-3+3
3=4x
Dividing both sides of the equation by 4:
3/4=4x/4
3/4=x
x=3/4=0.75
Point=(x,y)=(3/4,0)=(0.75,0)
With these pair of points (0, -3) and (0.75,0) we can draw the right line
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The solution of the system of equations; and <em>x</em> = 4, represented on the graph is the point (4, 1)
The graphs are straight line graphs that can be represented with linear functions.
The points on the graph with blue line are; (2, 0), (0, -1)
The slope, <em>m</em>, is therefore;
m = (0 - (-1))/(2 - 0) = 0.5
From the point, (2, 0), we have;
y = 0.5•(x - 2) = 0.5•x - 1
y = 0.5•x - 1...(1)
The equation of the graph that is constructed with red line is x = 4...(2)
The solution is given by equation (1) when<em> </em><em>x </em>= 4 as follows;
- On the blue line, <em>y</em> = 0.5•x - 1
- On the red line, <em>x </em>= 4
The solution satisfies both lines, and it is the point of intersection. At the solution, therefore;
y = 0.5•x - 1 and <em>x</em> = 4
Which gives;
y = 0.5 × 4 - 1 = 1
At the solution, <em>x </em>= 4, and <em>y </em>= 1, which gives the point, (4, 1)
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