Question

Graph the lineY = -4/3x +1

Answer 1

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:

$y=\text{ -}\frac{4}{3}x\text{ + 1}$

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

$m=\text{ -}\frac{4}{3}$

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:

$0=\text{ -}\frac{4}{3}x\text{ + 1}$

this is equivalent to:

$\frac{4}{3}x\text{ = 1}$

solving for x, we obtain:

$x=\frac{3}{4}=\text{ 0.75}$

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: