Question

Draw a line through the origin that has a slope of 4/3

Answer 1

Answer:

The graph in the attached figure

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem the given line represent a proportional relationship, because passes through the origin

we have

$k=\frac{4}{3}$ --->  the constant of proportionality k is equal to the slope

substitute

The linear equation is

$y=\frac{4}{3}x$

To draw a line we need two points

we have (0,0)

To find the other point

assume  x=3 and substitute in the equation to solve for y

$y=\frac{4}{3}(3)=4$

so

The other point is (3,4)

using a graphing tool

Plot the points (0,0) and (3,4)

To graph the line join the points

see the attached figure