Answered

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

A Line Y Mx B Passes Through The Point 16 And Is Parallel To Y 4x6 What Is The Value For B class=

Sagot :

SOLUTION

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

[tex]\begin{gathered} y=mx+c \\ where\text{ m=slope } \\ c=intercept\text{ on y-axis} \end{gathered}[/tex]

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

[tex]The\text{ slope m}_1=4[/tex]

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

[tex]ie\text{ }m_2=4[/tex]

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

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

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