Answer:
y intercept = -5
slope= 4
equation: y = 4x - 5
EXPLANATION:
FIRST, you must write the formula for a linear graph , which is y = m(x) + c
where y is any y component and x is it's corresponding x component , m is the gradient or slope and c is the constant or y intercept.
SOLUTION:
y = mx + c
finding the gradient (m)
m = y2 - y1
x2 - x1
=( (-1)-(-5) ) ÷ (1-0)
= -1+5 ÷ 1
= 4
Therefore, the slope is 4
finding the y intercept.
y = 4x + c
in the above equation, I substituted the value I had for the slope or the gradient or m.
SO NOW IM ABOUT TO FIND C
TO FIND C, YOU MUST FIRST PICK A CORRESPONDING Y AND X COMPONENT.
I CHOOSE MY Y = 3 and X = 2
Now I'm going to substitute those values into the formula.
(3) = 4(2) + C
since it's an equation with one variable, no need for simultaneous equations.
3 = 8 + c
3-8 = c
-5 = c
SO THATS HOW WE ARRIVED AT -5 AND 4.
WITH THAT, the equation of the line is y = 4x - 5.
I HOPE IT WAS HELPFUL.