Question

Y=4x+6. find the slope and y intervept.

Answer 1

Step 1 :

In this question, we are asked to find the slope and y-intercept of

`y\text{ = 4 x + 6}`

Step 2 :

To better understand the solution, we need to sketch the graph of:

`y\text{ = 4 x + 6}`

Step 3 :

From the graph. we can see that the slope of the line, m = 4

From the graph, we can also see that y-intercept, c = 6.

Alternatively, comparing the given equation;

`\begin{gathered} y\text{ = 4 x + 6 with } \\ \text{y = mx + c} \\ \text{From the above equations,} \\ slope\text{ , m = 4} \\ in\text{tercept, c = 6} \end{gathered}`

CONCLUSION :

The slope of the line, m = 4

The y-intercept, c = 6