Question

Question 4 Multiple Choice Worth 4 points)

Answer 1

Answer:

Question No 4

The equation will be: $y=-\frac{1}{2}x+11$

Option B is correct answer.

Question No 5

The equation will be: $y=\frac{3}{4}x+4$

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: $y=mx+b$ 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: $Slope=\frac{y_2-y_1}{x_2-x_1}$

Putting values and finding slope:

$Slope=\frac{9-10}{4-2}\\Slope=-\frac{1}{2}$

So, we get slope m = - 1/2

Finding y-intercept

Using point (2,10) and slope m =1/2 we can find y-intercept

$y=mx+b\\10=-\frac{1}{2}(2)+b\\10=-1+b\\b=10+1\\b=11$

So, equation will be:

$y=mx+b\\y=-\frac{1}{2}x+11$

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: $y=mx+b$ 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: $Slope=\frac{y_2-y_1}{x_2-x_1}$

Putting values and finding slope:

$Slope=\frac{7-4}{4-0}\\Slope=\frac{3}{4}$

So, we get slope m = 3/4

Finding y-intercept

Using point (0.4) and slope m = 3/4 we can find y-intercept

$y=mx+b\\4=\frac{3}{4}(0)+b\\4=0+b\\b=4$

So, equation will be:

$y=mx+b\\y=\frac{3}{4}x+4$

Option A is correct answer.