Question

The point where the graphs of two equations intersect

has y-coordinate 2. One equation is y=-3x + 5.
Find the other equation if its graph has a slope of 1.

Answer 1

Y=X+1

Explanation:

Y=2

Slope-intercept form=

Y=Mx +c

First equation

Y= -3x+5

Substituting y=2 in the first equation

2=-3x+5

3x=5-2

3x=3

x=3/3

x=1

Co-ordinates=(1,2)

Second equation

M(Gradient)=1

Y=Mx+c

To find c(Intercept)

2=1(1) +c

2=1+c

2-1=c

1=c

⇔c=1

Equation⇒

Y=Mx+C

Y=1(x) +1

Y=X+1