Question

Graph the lineY = -4/3x +1

Answer 1

Step-by-step explanation:

The slope-intercept form of a line with slope m and y-intercept b is given by the following formula:

`y=mx+b`

Now, consider the line that has the following equation:

`y=\text{ -}(4)/(3)x\text{ + 1}`

According to the slope-intercept form of a line, we can see that the slope m of this line is:

`m=\text{ -}(4)/(3)`

and the y-intercept is:

`1`

if the y-intercept is 1, this means that this line crosses the y-axis at the point (x,y)=(0,1).

Given the above values, to find the graph of the given line we only need to find the intercept with the x-axis. This is when y=0. Thus, to find it we set the equation of the line equal to 0 as follows:

`0=\text{ -}(4)/(3)x\text{ + 1}`

this is equivalent to:

`(4)/(3)x\text{ = 1}`

solving for x, we obtain:

`x=(3)/(4)=\text{ 0.75}`

thus, the x-intercept occurs in the point (x,y) = (3/4, 0)= (0.75, 0).

With all the information collected, we can now draw the graph of the linear equation:

we can conclude that the correct answer is:

Answer:

Or on the given cartesian plane: