Find an equation of the line that passes through 1 4 with sl

Find an equation of the line that passes through (-1, 4) with slope 3. Show your steps.

Solution

solution

point (-1,4)

slope m=3

equation of line

y=mx+c

To start, you know what m is; it\'s just the slope, which you said was 3. So you can right away fill in the equation for a line somewhat to read:

y=3x+c.

Now, what about c, the y-intercept?

To find b, think about what your (x,y) point means:

put for x the number -1 and for y the number 4

(-1,4). y=mx+c or 4=3 × -1+c, or solving for c: c=4-(3)(-1). c=7.

The equation of the line that passes through the point (-1,4) with a slope of 3

is

y=3x+7