Answer:
Question No 4
The equation will be: [tex]y=-\frac{1}{2}x+11[/tex]
Option B is correct answer.
Question No 5
The equation will be: [tex]y=\frac{3}{4}x+4[/tex]
Option A is correct answer.
Step-by-step explanation:
Question 4
The option equations are in slope intercept forms, so we will write equation in slope intercept form.
The general equation of slope intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept
Finding Slope:
Using the point (2,10) and (4,9) we can find slope
The formula used is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
Putting values and finding slope:
[tex]Slope=\frac{9-10}{4-2}\\Slope=-\frac{1}{2}[/tex]
So, we get slope m = - 1/2
Finding y-intercept
Using point (2,10) and slope m =1/2 we can find y-intercept
[tex]y=mx+b\\10=-\frac{1}{2}(2)+b\\10=-1+b\\b=10+1\\b=11[/tex]
So, equation will be:
[tex]y=mx+b\\y=-\frac{1}{2}x+11[/tex]
Option B is correct answer.
Question 5
The option equations are in slope intercept forms, so we will write equation in slope intercept form.
The general equation of slope intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept
Finding Slope:
Using the point (0,4) and (4,7) from the graph we can find slope
The formula used is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
Putting values and finding slope:
[tex]Slope=\frac{7-4}{4-0}\\Slope=\frac{3}{4}[/tex]
So, we get slope m = 3/4
Finding y-intercept
Using point (0.4) and slope m = 3/4 we can find y-intercept
[tex]y=mx+b\\4=\frac{3}{4}(0)+b\\4=0+b\\b=4[/tex]
So, equation will be:
[tex]y=mx+b\\y=\frac{3}{4}x+4[/tex]
Option A is correct answer.
