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SVEN [57.7K]
2 years ago
8

Graph a line that contains the point (4,3) and has a slope 1/2

Mathematics
2 answers:
olga_2 [115]2 years ago
7 0

Answer:

Since, the equation of a line passes through (x_1, y_1) with slope m is,

y-y_1=m(x-x_1)

Thus, the equation of line passes through (4, 3) with slope \frac{1}{2} is,

y-3=\frac{1}{2}(x-4)

2y - 6 = x - 4

x-2y = -6 + 4

x-2y = -2

If x = 0,

-2y=-2\implies y =1

Thus, the line intersects y-axis at (0, 1),

If y = 0,

x-2(0) = -2\implies x = - 2

Thus, the line intersects x-axis at (-2, 0),

By joining the points (0, 1) and (-2, 0) we get the graph of the given line ( shown below )

Roman55 [17]2 years ago
6 0

Answer: The graph is attached.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

We can find "b" substituting the slope and coordinates of the (4,3) into thte equation  y=mx+b, and then solving for "b":

3=\frac{1}{2}(4)+b\\\\3-2=b\\\\b=1

By definition, the line intersects the x-axis when "y" is zero.

Then, we need to substitute the y-intercept and y=0 into  y=mx+b and then solve for "x" in order to find the x-intercept:

0=\frac{1}{2}x+1\\\\-1(2)=x\\\\x=-2

Knowing the x-intercept and the y-intercept, we can graph the line (The graph is attached)

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