Question

A linear function is represented below.

Answer 1

Solution:

D. y = –0.5x + 5

In this chart, the slope, (m):

$\sf \dfrac{y_2-y_1}{x_2-x_1}}$

$\hookrightarrow \sf \frac{-6-0}{-2-0}$

$\hookrightarrow \sf \frac{-6}{-2}$

$\hookrightarrow \sf 3$

Equation:

$\sf y_1-y= m(x_1-x)$

$\hookrightarrow \sf y-(-6)= 3(x-(-2))$

$\hookrightarrow \sf y+6= 3x+6$

$\hookrightarrow \sf y+6-6= 3x+6-6$

$\hookrightarrow \sf y= 3x$  

⇒ Thus we found in the chart, the slope is 3 and y-intercept : 0

• A = y-intercept : 0

• B = y-intercept : 0

• C = y-intercept : -1

• D = y-intercept : 5

From this D only has the greatest y-intercept than the chart.