6. What is the slope of the line represented by the equation x = -9?
7. Write an equation of a line with a slope of 0 and passing through the point (5,4).
Hint: To answer this question, consider the type of line that has a slope of 0. Then write an equation of that line using the values in the ordered pair.
6 slope? it is undefined, the line is vertical
7 y=4
find an equation for the line satisfying the given conditions Y-intercept 8 and perpendicular to 3x-y +11=0
To find the slope of the line represented by the equation x = -9, we need to understand the equation's form. The equation x = -9 represents a vertical line. In general, a vertical line has an undefined slope.
Now, moving on to the second question, to write an equation of a line with a slope of 0 and passing through the point (5,4), we can use the point-slope form of a linear equation.
The point-slope form is given as y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line, and m is the slope.
In this case, the slope is 0, so the equation becomes y - 4 = 0(x - 5).
We know that any number multiplied by 0 is 0, so the equation simplifies to y - 4 = 0.
To get the equation in the standard form, we can add 4 to both sides of the equation. This gives us y = 4.
Therefore, the equation of the line with a slope of 0 passing through the point (5,4) is y = 4.