Question

“Write the equation of the line that passes through the points (0,7) and (-2,7). Put

your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.”

Answer 1

y = 7

Explanation:

Let the equation of the line is,

y = mx + b

Here, m = Slope of the line

b = y-intercept

Line passes through two points (0, 7) and (-2, 7)

Therefore, slope of the line will be,

m =
`(y_2-y_1)/(x_2-x_1)`

m =
`(7-7)/(0+2)`

m = 0

If the slope of a line is 0 then the graph of the line will be parallel to x-axis.

By substituting the value of slope in the equation,

Equation of the line will be,

y = 0(x) + b

y = b

Since, the given line passes through (0, 7),

Equation of the line will be,

y = 7