Question

1) Which equation represents the line that passes through the point (3, 10) and has a slope of 3?

2) What is an equation for the line that passes through the coordinates (0, 3) and has a slope of -3/2?
3) Write an equation of the line that passes through the point (–2, 4) with slope 1.
4) What is the equation of the line that passes through the point (3,7) and has a slope of 4/3?

Answer 1

hello

frrom the question given, we have the value of slope and x,y coordinates

slope = 3

x-axis = 3

y-axis = 10

the standard equation of a line is given as

`\begin{gathered} y=mx+c \\ m=\text{slope} \end{gathered}`

let's input the values and solve the question

`\begin{gathered} y=mx+c \\ 10=3(3)+c \\ 10=9_{}+c \\ c=10-9 \\ c=1 \end{gathered}`

NB: c is equals to the intercept

let write out the equation now

`y=3x+1`

from the calculation above, the equation of line is given as y = 3x +1