Question

Write the equation of the line in slope-intercept form that passes through the points (-2, 6) and (-1, 4).

y = -2x + 5

y = 2x - 3

y = 2x + 6

y = -2x + 2

Answer 1

use the equation y=mx+b where m=slope and b=y-intercept

Answer 2

use the slope equation:
\[m = \frac{y_2-y_1}{x_2-x_1}\] to find the slope of the line passing through \((x_1,y_1)\) and \((x_2,y_2)\)Armed with the slope, use the slope-point form to write the equation of a line with slope \(m\) passing through point \((x_0, y_0)\):
\[y-y_0 = m(x-x_0)\]
Then rearrange into slope-intercept form:
\[y=mx+b\]