Question

Graph the point (-2,3) and 3 more points using a slope of -1/2

Answer 1

The required 3 more coordinates are (0, 2), (1, 3/2), and (2, 1).

Given that,
To determine points using a slope of -1/2 and the point (-2,3).

What is coordinate?

Coordinate, is represented as the points on the x-axis and y-axis of the graph.

Here,

using the slope-intercept form of the equation,
y = mx + c
we have a point (-2, 3) and m = -1/2
Put point and slope in the equation,
3 = -1/2 * -2 + c
c = 3 - 1
c = 2
Now equation would be
y = -1/2x + 2
Now,
For x = 0
y = 2

Coordinate will be (0,2)

For x = 1
y = -1/2 + 2
y =  3/2
Coordinate will be (1, 3/2)

For x = 2
y = -1/2 * 2 + 2
y = 1
Coordinate will be (2, 1)

Thus, the required 3 more coordinates are (0, 2), (1, 3/2), and (2, 1).

Learn more about coordinate here:

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Answer 2

Answer:

Step-by-step explanation:

(-2,3)    k=-1/2

Find the equation of the line:

$y=kx+b$

$\displaystyle\\3=-\frac{1}{2}*(-2)+b\\\\3=1+b\\ 3-1=1+b-1\\2=b\\Thus,\\y=-\frac{1}{2} x+2$