Linear Equations from Two Points in Context

What is the equation of the line passing through the points (2, –1) and (5, –10) in slope-intercept form?

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What method can be used to write the equation of a line in slope-intercept form given two points?

• Find the slope using the formula m= y2-y1/x2-x1 and then substitute one point and the slope into the equation y=mx+b to find the y-intercept

• Find the slope using the formula m= x2-x1/y2-y1 and then substitute one point and the slope into the equation y=mx+b to find the y-intercept

• Find the y-intercept using the formula m= y2-y1/x2-x1 and then substitute one point and the slope into the equation y=mx+b to find the slope

• Find the y-intercept using the formula m= x2-x1/y2-y1 and then substitute one point and the slope into the equation y=mx+b to find the slope

What is the equation of the line passing through the points (2/5, 9/20) and (1/3, 11/12) in slope-intercept form?

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Which line has an equation of y= -5x+4 in slope intercept form?

• a line passing through the points (1, 9) and (3, 19)

• a line passing through the points (2, –14) and (4, –24)

• a line passing through the points (1, 1) and (3, 11)

• a line passing through the points (2, –6) and (4, –16)

What is the equation of the line passing through the points (–25, 50) and (25, 50) in slope-intercept form?

• y = -50x

• y = -50

• y = 50x

• y = 50

What is the slope-intercept form of a line that passes through points (2, 11) and (4, 17)?

Which is a characteristic of the line that passes through the points (6, 10) and (12, 7)?

• The slope is 1/2

• The slope is -2

• The y-intercept is 7.

• The y-intercept is 13.

Vladimir says that the equation of the line that passes through points (-5, -3) and (10,9) is y= 4/5x+1. Robyn says that the line passes through the points (-10, -7) and (-15, -11). Who is correct?

• only Vladimir

• only Robyn

• both Vladimir and Robyn

• neither Vladimir nor Robyn

Which equation represents the line that passes through the points (–3, 7) and (9, –1)?

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What is the equation of the line that passes through the points (15,9) and (-2,9)?