Question

Please help I need to find the answer for the graph

Answer 1

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

Explanation:

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

`{ \rm{slope = ((1 - 5))/((1 - 0)) = ( - 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 * 1) + c }} \\ \\ { \rm{1 = {}^( - ) 4 + c}} \\ \\ { \rm{c = 5}}`

• Therefore;

`{ \boxed{ \rm{ \: y = {}^( - )4x + 5 }}}`