Question

How do you find the slope and y intercept of $2y=5$ ?

Answer 1

In this question, we have to find the slope and intercept of the equation. Therefore, we have to find the slope and intercept of the equation. Thus, we will use the slope-intercept form. As we know that, the slope is the ratio of the vertical change or horizontal change between any two distinct points on the curve. About intercepts, the x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis. Thus, we transform the equation into the line of the equation $y=mx+c$ , by dividing 2 on both sides of the equation, to get the transformed equation. Thus, we compare the general line of the equation and transformed equation, to get the value of slope and intercepts of the equation, which is our required answer.

Complete step by step solution:
In this question, we have to solve the equation $2y=5$ using slope-intercept form.
As we know, the equation of the line is $y=mx+c$ , where
m is the slope of the equation = $\dfrac{y}{x}=\dfrac{\text{rise}}{\text{run}}$ , means y will go vertically and x will go horizontal
In addition, c is the y-intercept =constant ------------- (1)
Therefore, we rearrange the equation $2y=5$ in the form of $y=mx+c$ , that is
Equation: $2y=5$ ---------- (2)
We will divide 2 on both sides of the equation (2), we get
$\Rightarrow \dfrac{2y}{2}=\dfrac{5}{2}$
As we know, the same terms will cancel out with quotient 1 in the division, we get
$\Rightarrow y=\dfrac{5}{2}$
Therefore, we get
$\Rightarrow y=0x+\dfrac{5}{2}$ ---------- (3)
As we see the above equation has transformed into the equation $y=mx+c$ .
Therefore, on comparing equations (1) and (3), we get that
The slope of the equation $2y=5$ = $m=0$ , and
The intercept of y-axis $2y=5$ = $c=\dfrac{5}{2}$

Thus, for the equation $2y=5$ , its slope is equal to 0 and y-intercept is equal to $c=\dfrac{5}{2}$

Note: Always do proper calculations to get the exact slope and intercept of the equation. You can also find the y-intercept by using the substitution method. Let x=0 in the equation and solve for y, which is the required y-intercept for the answer.