Respuesta :
The slope-intercept form of line:
y = mx + b
The slope m = 0.5 and y-intercept b = 2. Therefore we have the equation:
y = 0.5x + 2.
It is a linear function. We need only two points to plot the graph.
We have y-intercept, therefore we have the point (0, 2).
Second point:
for x = -4 → y = 0.5(-4) + 2 = -2 + 2 = 0 → (-4 , 0)
The graph in the attachment.
The point at which the y-intercept will cut the x-axis and y-axis will be ( 0,2 ) and ( -4,0 ).
What is an equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
The slope-intercept form of a line:
y = mx + b
The slope m = 0.5 and y-intercept b = 2. Therefore we have the equation:
y = 0.5x + 2.
It is a linear function. We need only two points to plot the graph.
We have a y-intercept, therefore we have the point (0, 2).
Second point:
x = -4 y = 0.5(-4) + 2
y = -2 + 2 = 0
The point is (-4, 0)
Therefore the points at which the y-intercept will cut the x-axis and y-axis will be ( 0,2 ) and ( -4,0 ).
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