Question

A line, y = mx + b, passes through the point (1,6) and is parallel to y = 4x+6. What is the value for b?

Answer 1

Slope intercept form of equation of straight line is given as;

`\begin{gathered} y=mx+c \\ where\text{ m=slope } \\ c=intercept\text{ on y-axis} \end{gathered}`

To determine the slope of y=4x+6;

`The\text{ slope m}_1=4`

If two lines are parallel, their slope will be equal;

`ie\text{ }m_2=4`

To find b, we must find the equation of the line;

`\begin{gathered} Equation\text{ of line whe slope and a point is given is written as;} \\ slope=(y-y_1)/(x-x_1) \\ where,\text{ slope=4, x}_1=1\text{ and y}_1=6 \end{gathered}`