How do i graph the line y=2/3x+ 490 using the slope intercept method?

Find 490 on the y-axis. Remember the slope-intercept formula: y = mx + b where m = slope and b = y intercept.
slope = rise/run. With the point 490 on the y-axis, move 3 units to the left and two units upward, and mark another point there. Draw a straight line through it, and make sure the line is rising (left to right) because the slope is positive.

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Yogeshkumari Yogeshkumari · Answer 2 · 2022-06-27T11:25:24+02:00

Graph of the line [tex]y = \frac{2}{3} x+490[/tex] is drawn with slope [tex]m = \frac{2}{3}[/tex] and y-intercept 490 and x-intercept = -735.

What is slope?

"Slope of the line is defined as the ratio of difference in the increment in y coordinates to the difference in increment in x-coordinates."

Formula used

standard equation of line

y = mx + c

m = slope of the line

c = y- intercept

According to the question,

Given equation of line,

[tex]y = \frac{2}{3} x+490[/tex]

Compare it with standard equation of line y = mx + c we get,

Slope [tex]m = \frac{2}{3}[/tex]

y-intercept = 490

Calculate x-intercept by putting y=0

x-intercept = -735

Now plot it on the graph as shown and join the points with slope [tex]m = \frac{2}{3}[/tex]

Hence, graph of the line [tex]y = \frac{2}{3} x+490[/tex] is drawn with slope [tex]m = \frac{2}{3}[/tex] and y-intercept 490 and x-intercept = -735.

Learn more about slope here

https://brainly.com/question/3605446

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