Answer:
The slope is 4, and the y-intercept is 12.
Step-by-step explanation:
In the given graph consider to coordinates of line:
(-3,0), (-2,4)
Slope of the of line can be calculated by using formula:
[tex](x_1,y_1) , (x_2,y_2)[/tex]
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{4-0}{-2-(-3)}=\frac{4}{1}=4[/tex]
And the equation of the line can be given as:
[tex](y-y_1)=m(x-x_1)[/tex]
m = slope of the line
[tex](y-0)=4\times (x-(-3)[/tex]
[tex]y=4x+12[/tex]
Slope intercept form of line:
[tex]y=mx+c[/tex]...
c = intercept on y axis
On comparing equation line with slope intercept form
y=4x+12
y=mx+c
m = 4, c = 12
The slope is 4, and the y-intercept is 12.
