Question

Y= - 1/2x+2I have to graph the linear equation

Answer 1

Step-by-step explanation

To plot a graph, given the equation of the straight line, we simply obtain the intercepts (x and y intercepts) and connect those to plot.

x-intercept

This is the point where the graph crosses the x-axis and it is the value of x when y = 0.

y = -½x + 2

when y = 0

0 = -½x + 2

Multiply through by 2

0 = -x + 4

x = 4

So, first point, (4, 0)

y-intercept

This is where the graph crosses the y-axis and it is the value of y when x = 0

y = -½x + 2

when x = 0

y = -½(0) + 2

y = 0 + 2

y = 2

So, the second point, (0, 2)

So, this graph is plotted and presented under 'Answer'

Hope this Helps!!!