Rite an equation of the line given its slope, m=-3, and its y-intercept, b =10.

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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step-by-step explanation: