Question

Find the slope-intercept form of the equation of the line that has the given slope 'm' and passes through the given point. Slope (m): 2 Point (x1, y1): (3, 4)

Answer 1

y = 2x - 2

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given slope m = 2 , then

y = 2x + c ← is the partial equation

to find c , substitute the point (3, 4 ) into the partial equation

4 = 2(3) + c = 6 + c ( subtract 6 from both sides )

- 2 = c

y = 2x - 2 ← equation of line

Answer 2

y = 2x-2

Explanation:

The slope-intercept form of a line is given by

y = mx+b where m is the slope and b is the y-intercept.

We know the slope, 2.

y = 2x+b

Substitute the point (3,4) in for x and y.

4 = 2*3+b

4 = 6+b

4-6 =b

-2=b

The equation is

y = 2x-2