Please help with the image below.(?)

enter image source here

2 Answers
Aug 8, 2018

I tried this:

Explanation:

You can see the y-intercept observing that your line passes through y=-5.

enter image source here

So the intercept will be the point P1 of coordinates x=0,y=-5.

The slope m will be given as:

m=(Deltay)/(Deltax)=(y_2-y_1)/(x_2-x_1)=(0-(-5))/(2-0)=5/2

where we used two points P2 and P1 on the graph and their coordinates.

The equation of the line can be found remebering its general form (using for example the coordinates of point P2):

y-y_2=m(x-x_2)

giving:

y-0=5/2(x-2)

y=5/2x-5

Aug 8, 2018

"see explanation"

Explanation:

"the gradient is a measure of ""change in y"/"change in x"=(Deltay)/(Deltax)

"we require to have 2 points on the line "

(2,0)" and "(0,-5)" are 2 points on the line"

"note that "y=-5color(red)" is the y-intercept"

"gradient (m) "=5/2

"the equation of a line in "color(blue)"slope-intercept form " is.

•color(white)(x)y=mx+c

"where m is the gradient and c the y-intercept"

"here "m=5/2" and "c=-5

y=5/2x-5larrcolor(red)" is the equation of the line"