Respuesta :
Answer:
y = 7x + 1
Step-by-step explanation:
y = mx + b and we know that m = 7. Put the values of x and y into the equation and solve for b.
8 = 7(1) + b
8 = 7 + b
1 = b
y = 7x + 1
The equation of a line is [tex]y = 7x+1[/tex].
Given that,
The slope of the line is 7 and a point (1, 8) on the line.
We have to find,
The equation of the line is in the form of [tex]\rm y = mx +c[/tex].
According to the question,
The standard form of the equation having slope m and y in the intercept can be written as,
[tex]\rm y = mx +b[/tex]
The slope of the line is 7 and point (1, 8),
Then,
The value of c is,
[tex]\rm y = mx + c\\\\8 = 7(1) +c\\\\c = 8-7 \\\\c = 1[/tex]
Therefore,
The equation of the line is,
[tex]\rm y = mx +b\\\\y = 7x+ 1[/tex]
Hence, The required equation of a line is [tex]y = 7x+1[/tex].
For more details refer to the link given below.
https://brainly.com/question/2564656
