Question

Find the slope and y-intercept of the lines whose equation is \[y{\text{ }} = {\text{ }}x + 1.\]
A) slope \[1,\] y-intercept \[1\]
B) slope \[ - 1,\] y-intercept \[1\]
C) slope \[1,\] y-intercept \[ - 1\]
D) None of these

Answer 1

Hint: To solve this question, we will start with using the given equation and compare with the slope formula, with that we will get the slope and y-intercept of the lines.

Complete step by step answer:
 We have been given an equation, \[y{\text{ }} = {\text{ }}x + 1.\]
So, on rearranging the above equation, we get
$y - 1 = x....eq.(1)$
Now, we need to find the slope and y-intercept of the lines by using the slope formula mentioned below.
We know that, $y - {y_1} = m(x - {x_1})$
Now, on comparing the above equation with \[eq.\left( 1 \right),\] we get
\[{y_1} = 1,{x_1} = 0,m = 1\]
So, slope \[ = {\text{ }}1\] and y-intercept \[ = {\text{ }}1\]

Thus, option (A), slope \[1,\] y-intercept \[1\] is correct.

Note: In the above solutions, we have mentioned the slope formula, i.e.,$y - {y_1} = m(x - {x_1})$
where, m represents slope, \[\left( {{x_1},{y_1}} \right)\] represents the coordinates of first point in the line and \[\left( {{x_2},{y_2}} \right)\] represents coordinates of second point in the line.