Question

Please help I need to find the answer for the graph

Answer 1

Answer:

${ \rm{y = { \boxed{ \blue{- 4}}x + { \boxed{ \blue{5}}}}}}$

Step-by-step explanation:

Consinder points (0, 5) and (1, 1):

${ \rm{slope = \frac{(1 - 5)}{(1 - 0)} = \frac{ - 4}{1} }} \\ \\ { \underline{ \rm{ \: m = {}^{ - }4 \: }}}$

• From general equation of a line:

${ \tt{y = mx + c}}$

• m is the slope
• c is the y-intercept

• Considering point (1, 1)

${ \rm{1 = ( {}^{ - }4 \times 1) + c }} \\ \\ { \rm{1 = {}^{ - } 4 + c}} \\ \\ { \rm{c = 5}}$

• Therefore;

${ \boxed{ \rm{ \: y = {}^{ - }4x + 5 }}}$