# Tracen en su cuaderno las siguientes en un plano cartesiano. Midan el angulo de inclinación de cada una.y=2x y=x y=4x y=0.1x y=1/2x y=30x y=1/3x y=3x

Tracen en su cuaderno las siguientes en un plano cartesiano. Midan el angulo de inclinación de cada una. y=2x y=x y=4x y=0.1x y=1/2x y=30x y=1/3x y=3x
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2abehn

y=2x has a slope of 2 and a y-intercept of 0 so plot a line with a slope of 2 and a y-intercept of 0, as shown below by the blue line.
y=x has a slope of 1 and a y-intercept of 0 so plot a line with a slope of 1 and a y-intercept of 0, as shown below by the red line.
y=4x has a slope of 4 and a y-intercept of 0 so plot a line with a slope of 4 and a y-intercept of 0, as shown below by the dark green line.
y=0.1x has a slope of 0.1 = 110
and a y-intercept of 0 so plot a line with a slope of 110
and a y-intercept of 0, as shown below by the orange line.
y=12x
x has a slope of 12
and a y-intercept of 0 so plot a line with a slope of $\mathrm{}\frac{1}{2}$ and a y-intercept of 0, as shown below by the purple line.
y=30x has a slope of 30 and a y-intercept of 0 so plot a line with a slope of 30 and a y-intercept of 0, as shown below by the pink line.
y=13x
x has a slope of 13
and a y-intercept of 0 so plot a line with a slope of $\mathrm{}\frac{1}{3}$ and a yy-intercept of 0, as shown below by the lime green line.
y=3x has a slope of 3 and a y-intercept of 0 so plot a line with a slope of 3 and a y-intercept of 0, as shown below by the yellow line.
To find the angles of inclination, you can either use a protractor to measure the angles between the x-axis and each line or you can use the formula $\mathrm{tan}\ominus =m$, where $\ominus$ is the angle of inclination and mm is the slope of the line.
Your measurements won't be very accurate if you use a protractor so you should use the formula if you need to give accurate angles. If . Use a calculator the evaluate $\ominus ={\mathrm{tan}}^{-1}m$ for each line.
For y=2x, the slope of m = 2 so $\ominus ={\mathrm{tan}}^{-1}×2\approx {63.4}^{\circ }$
For y=x, the slope of m = 1 so $\ominus ={\mathrm{tan}}^{-1}×2={45}^{\circ }$
For y=4x, the slope of m = 4 so $\ominus ={\mathrm{tan}}^{-1}×4\approx {76}^{\circ }$
For y=0.1x, the slope of m = 1 so $\ominus ={\mathrm{tan}}^{-1}\cdot 0.1\approx {5.7}^{\circ }$
For $y=\left(\frac{1}{2}\right)x$, the slope of
For y=39x, the slope of m = 30 so $\ominus ={\mathrm{tan}}^{-1}×38\approx {88.1}^{\circ }$
For y=(1.3)x, the slope of
For y=3x, the slope of m = 3 so $\ominus ={\mathrm{tan}}^{-1}×\frac{1}{3}\approx {71.6}^{\circ }$