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Answer:
• General equation of a line:
[tex]y = mx + b \\ [/tex]
b is y-intercept.
[tex]{ \boxed{ \rm{slope = \frac{y _{2} - y _{1}}{x _{2} - x _{1} } }}} \\ [/tex]
[tex]{ \tt{slope = \frac{4 - 0}{4 - 2} }} \\ \\ { \tt{ = \frac{4}{2} }} \\ \\ { \tt{m = 2}}[/tex]
let's find y-intercept:
[tex]{ \tt{y = mx + b}} \\ \\ { \tt{0 = (2 \times 2) + b}} \\ \\{ \tt{b = {}^{ - }4 }}[/tex]
• therefore, equation of a line is:
[tex]{ \underline{ \underline{ \tt{ \: \: y = 2x - 4 \: \: }}}}[/tex]
Step-by-step explanation:
Use the formula y2-y1/x2-x1
I plugged in 4-0/4-2=2
y=mx+b
plug in the x and y values
I used the (2, 0) values
0= 2(2)+b
0=4+b
-4= -4
-4=b
Hope this helps :)
If you have anymore questions feel free to ask!