Answer
Point A:
$y = −5x+2$
$y = −5(0)+2$
$y = 2$
Point B:
$y = −5x+2$
$y = −5(1)+2$
$y = −3$
Point C:
$y = −5x+2$
$y = −5(2)+2$
$y = −10+2$
$y = -8$
Work Step by Step
To get the coordinates of point A, substitute the given x-value of 0 into the given equation $y =−5x+2$ to get the y-value of y=2. Hence, we know that when x is 0, y is 2. i.e (0,2) is a point on the line.
To get the coordinates of point B, substitute the given x-value of 1 into the given equation $y =−5x+2$ to get the y-value of y=-3. Hence, we know that when x is 1, y is -3. i.e (1,-3) is a point on the line.
To get the coordinates of point C, substitute the given x-value of 2 into the given equation $y =−5x+2$ to get the y-value of y=-8. Hence, we know that when x is 2, y is -8. i.e (2,-8) is a point on the line.
Graph points A, B and C using their respective x and y values. Using a ruler, draw a straight line passing through all three points to graph the equation of $y =−5x+2$.