Answer:
y = -3x + 10
Step-by-step explanation:
What is x-intercept? It is such an argument (x-value) where y-value equals 0. In equations you would tell that it is root of the equation.
In general formula y
=
m
x
+
b you insert known information, where m is a slope (or gradient) and b is free-term (or y-intercept - such an value where function cuts y-axis, so point (0, b) ).
Let us take example. You are given slope - it is 2. And you know that your x-intercept is equal 3. Therefore, you know that when x
=
3
, y
=
0
.
Let us use that information. You know that you may write every linear function like that: y
=
m
x
+
b
.
Let us insert values: 0
=
2
⋅
3
+
b
Our unknown is b
, free term. Let us isolate it: b
=
−
6
.
And after all, we must insert our b value back into equation: y
=
2
x
−
6
.
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