Write the equation of a line with a slope of 3 and passes through the point (-1,-8). Show steps please

y=3x-5

Step-by-step explanation:

We are given a point and a slope, so we can use the point-slope formula.

where m is the slope and (x₁, y₁) is the point.

The slope is 3 and the point given is (-1,-8). Therefore,

Substitute the values into the formula.

Simplify the signs. Two negative signs become a positive sign.

Distribute the 3. Multiply each term inside the parentheses by 3.

We want to find the equation in slope-intercept form: y=mx+b. Therefore, we must isolate y. 8 is being added to y. The inverse of addition is subtraction. Subtract 8 from both sides.

The equation of the line is y=3x-5 ⇒ m= 3, b= -5

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