Question

hazar el gráfico de la recta.
$y = \frac{4}{3}x$

Explanation:

Step1: Identify the type of function

The equation \( y = \frac{4}{3}x \) is a linear function in the form \( y = mx \), where \( m=\frac{4}{3} \) is the slope and the y - intercept \( b = 0 \). So the line passes through the origin \((0,0)\).

Step2: Find another point

To graph the line, we can find another point by choosing a value for \( x \) and calculating the corresponding \( y \). Let's choose \( x = 3 \). Substitute \( x = 3 \) into the equation \( y=\frac{4}{3}x \), we get \( y=\frac{4}{3}\times3 = 4 \). So the point \((3,4)\) is on the line.

Step3: Plot the points and draw the line

First, plot the origin \((0,0)\) on the coordinate plane. Then plot the point \((3,4)\). After that, use a straight - edge to draw a line through these two points. This line represents the graph of \( y=\frac{4}{3}x \).

Answer:

To graph \( y = \frac{4}{3}x \), plot \((0,0)\) and \((3,4)\) (or other points found by substituting \( x \) values) and draw a line through them. The line passes through the origin with a slope of \(\frac{4}{3}\).