Question

HELP ME PLEASE!!!!!!!!!!!​

Answer 1

Answer:

9.y=Mx+b

   Y= 2/5x+4

10. y=Mx+b

     Y=4x-5

Step-by-step explanation:

Answer 2

Answer:

9) $y=\frac{2}{5} x+4$

10) $y=4x-5$

Step-by-step explanation:

Slope-intercept form is $y=mx+b$ where $m$ is the slope and $b$ is the y-intercept, or the value of y when the line crosses the y-axis.

Question 9

$y=mx+b$

The question tells us that the slope of the line is $\frac{2}{5}$. Because the slope is $m$, plug $\frac{2}{5}$ into the equation as $m$.

$y=\frac{2}{5} x+b$

Then, it tells us that the y-intercept is (0,4). Recall that the y-intercept is the value of y when the line crosses the y-axis. The value of y in the point (0,4) is 4. Because the y-intercept is $b$, plug 4 into the equation as $b$.

$y=\frac{2}{5} x+4$

Question 10

$y=mx+b$

First, we must calculate the slope using the slope equation:

$\frac{y_2-y_1}{x_2-x_1}$ when the given points are $(x_1,y_1)$ and $(x_2,y_2)$

The given points are (0,-5) and (2,3). Plug those into the equation.

$\frac{3-(-5)}{2-0}$

Two negatives make a positive

$= \frac{3+5}{2-0}\\= \frac{8}{2} \\= 4$

Therefore, the slope of the line is 4. Plug 4 into the original equation as $m$.

$y=4x+b$

Now, we can find the y-intercept by simply looking at the graph. The line crosses the y-axis at the point (0,-5). Therefore, the y-intercept is -5. Plug -5 into the equation as $b$.

$y=4x+(-5)\\y=4x-5$

I hope this helps!