Question

Find a point-slope form for the line that satisfies the stated conditions

Slope 4, passing through (- 2,1)

The equation of the line in point-slope form is ……

Answer 1

y=4x+9

Explanation:

y-Y1= m× x-X1

Y-1 = 4×X+2

y-1 = 4x+8

y=4x+9

Answer 2

The line with a slope of 4, passing through (-2,1), is expressed in point-slope form as "y = 4x + 9." The slope-intercept form is "y = 4x + 9."

The point-slope form of a linear equation is given by "y - y1 = m(x - x1)," where (x1, y1) is a point on the line, and m is the slope.

Given that the slope m is 4 and the line passes through the point (-2, 1), we can substitute these values into the point-slope form equation:

y - 1 = 4(x - (-2))

Simplifying further:

y - 1 = 4(x + 2)

Distributing 4 on the right side:

y - 1 = 4x + 8

Now, isolate y by adding 1 to both sides:

y = 4x + 9

So, the equation of the line in point-slope form is "y = 4x + 9."