A line has a slope of one and a y-intercept of nine. What is the equation of a slope intercept form?

Mathematics

2 answers:

Masteriza [31]3 years ago

7 0

Answer:

y=x+9 (or y=1x+9, same thing)

Step-by-step explanation:

The equation for Slope-Intercept is y=mx+b. M is the slope, an B is the Y-intercept. Since 1 is the slope, m=1, and B=9 because 9 is the Y-intercept.

lozanna [386]3 years ago

6 0

Answer:

y=x+9

Step-by-step explanation:

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find the equation of straight line which passes through the point of intersection of straight lines.x+2y+3=0 and 3x+4y=7 and par

erastovalidia [21]

Answer:

Equation of the line in question: $y = x - 21$ .

Step-by-step explanation:

Start by finding the intersection of the two straight lines. The equation for both lines shall hold at their intersection. (Using the idea of the Gaussian Elimination.)

$\left\{\begin{aligned}&x + 2y =-3\\&3x + 4y=7\end{aligned}\right.$ .

Add -3 times the first equation to the second:

$\left\{\begin{aligned}&x + 2y =-3\\& -2y=16\end{aligned}\right.$ .

Add the second equation $-2y=16$ to the first:

$\left\{\begin{aligned}&x = 13\\&y=-8\end{aligned}\right.$ .

Hence the intersection of the two lines will be $(13, -8)$ .

Now, find the slope of that straight line. $y - x = 8$ is equivalent to $y = x +8$ . The slope of that line is equal to 1. So will be the slope of the line in question.