Question

Find an equation of the line that has the given slope and passes through the given point.

m = 2, (-3,0)

Answer 1

y = 2x+6
The slope is 2 and the y intercept is 6

Answer 2

Answer:

y = 2x + 6

Step-by-step explanation:

Hi there!

We are given that a line has a slope of 2 and passes through the point (-3, 0)

We want to write the equation of this line.

There are 3 ways to write the equation of the line:

• Slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
• Standard form, which is ax+by=c, where a, b, and c are integer coefficients but a and b cannot be equal to 0, and a cannot be negative
• Slope-point form, which is $y-y_1=m(x-x_1)$, where m is the slope and $(x_1, y_1)$ is a point

The most common way to write the equation of the line is slope-intercept form, so let's do it that way.

Since we are already given the slope, we can immediately substitute it into the equation for m

Replace m with 2 in y=mx+b.

y = 2x + b

Now we need to solve for b

As the equation passes through the point (-3, 0), we can use its values to help solve for b.

Substitute -3 as x and 0 as y.

0 = 2(-3) + b

Multiply

0 = -6 + b

Add 6 to both sides

6 = b

Substitute 6 as b in the equation

y = 2x + 6

Hope this helps!

Topic: finding the equation of the line

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