Write an equation for the line passing through the points (-5,15) and (20,25). Show how you found your answer.

Mathematics

1 answer:

olasank [31]4 years ago

7 0

The point-slope form:

$y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (-5, 15) and (20, 25). substitute:

$m=\dfrac{25-15}{20-(-5)}=\dfrac{10}{25}=\dfrac{2}{5}\\\\y-15=\dfrac{2}{5}(x-(-5))\\\\y-15=\dfrac{2}{5}(x+5)\qquad|\text{use distributive property}\\\\y-15=\dfrac{2}{5}x+2\qquad|\text{add 15 from both sides}\\\\y=\dfrac{2}{5}x+17\qquad|\text{multiply both sides by 5}\\\\5y=2x+85\qquad|\text{subtract 2x from both sides}\\\\-2x+5y=85\qquad|\text{change the signs}\\\\2x-5y=-85$

Answer:

point-slope form: $y-15=\dfrac{2}{5}(x+5)$

slope-intercept form: $y=\dfrac{2}{5}x+17$

standard form: $2x-5y=-85$

You might be interested in

Help me with my hw pleaseeee

Sidana [21]

Answer:

10 -angles CGD and FGE

11-FGB and EGD

12- BGC and CGD

13-FGB and BGD

14- AGB and BGC

15- EGD

5 0

3 years ago

To find 5, Beau found 22 = 4 and 32 = 9. He said that since 5 is between 4 and 9, 5 is between 2 and 3. Beau thinks a good estim

shusha [124]

Complete question

To find $\sqrt{5}$ , Beau found $2^2 = 4$ and $3^2 = 9$ . He said that since 5 is between 4 and 9, $\sqrt{5}$ , is between 2 and 3. Beau thinks a good estimate for $\sqrt{5}$ , is $\frac{2 + 3}{2} = 2.5$ Is his estimate high or low? How do you know?