Answer:
The given equation is
[tex]y=4x+3[/tex]
To graph this equation, we need to create a table for all the coordinates pairs.
X Y
0 3
-3/4 0
So, we have two points, (0,3) and (-3/4, 0). Now, we graph them to draw a straight line as the image attached shows.
To find the slope, we use those points.
[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }=\frac{0-3}{-\frac{3}{4} -0} =\frac{-3}{-\frac{3}{4} }\\ m=4[/tex]
So, the slope is 4.
The angle of inclination is found by the formula
[tex]tan \theta = m[/tex]
Where [tex]\theta[/tex] is the angle and [tex]m[/tex] is the slope.
[tex]\theta = tan^{-1}(4) \approx 76\°[/tex]
Therefore, the angle of inclination is 76°, approximately.
