Question

My daughter is having a hard time trying to figure this problem.

Answer 1

Hey there! :-)

First, let's find the slope of the line.

We can do that by using this formula:

Slope=Rise/Run

Where

Rise=how many units we move up

Run=how many units we move left or right.

We move 5 units up and 8 units to the right.

Therefore, the slope is 5/8.

The y-intercept (where the line touches the graph) is -9/8.=

Therefore, the equation of the line is y=5/8x-9/8.

Hope this helps you daughter. Use the comment section to clarify any doubts.

Answered by

~A felicitous teen who helps others with a smile on her face

Good luck.

Answer 2

Answer:

a - y=5/8x - 9/8

Step-by-step explanation:

firstly, work out the gradient between those two coordinates

$gradient = \frac{change \: in \: y}{change \: in \: x}$

$gradient \: = \frac{ - 3 - 2}{ - 3 - 5} = \frac{ - 5}{ - 8} = \frac{5}{8}$

now, use formula y=mx+c where y is the y coordinate, m is the gradient, x is the x coordinate and c is the y intercept

use any of the two coordinates in the graph. I'll use (5,2)

$y = mx + c$

$2 = \frac{5}{8} (5) + c$

$2 = \frac{25}{8} + c$

$therefore \: c \: is \: - \frac{9}{8} from \: doing \: 2 - \frac{25}{8}$

now we have the gradient and y intercept

so the equation is

$y = \frac{5}{8} x - \frac{9}{8}$