graph the line with the slope -1/3 passing through the point (4,5)

Question

graph the line with slope -1/3 passing through the points (4,5).

Answer 1

Graph

Draw the cordinate plane.

Plot the point (4,5)

draw the line through the point with the slope -1/3.

Answer 2

Required line slope = -1/3 passing through (4,5)

Slope - intercept - form of a line equation is y = mx + c, where, m is slope and c is y - intercept.

Substitute the values of m = -1/3 and (x, y ) = (4, 5) in slope - intercept - form of a line equation : y = mx + c.

5 = -1/3(4) + c

5 = -4/3 + c

5 + 4/3 = c

c = 19/3 = 6.33

The line equation is y  = -x /3 + 6.33.

y -intercept is 6.33, so the line crosses the y -axis at (0, 6.33)

Using slope find the next point.

Slope = rise/run = -1/3

Start at point (0, 6.33), move 1unit down and 3 units right, then plot the point (3, 5.33).

plot the point (4,5).

Draw a line through these points.

Graph :