y = -2x + 6 is the equation of the line in slope-intercept form passing through points (-1 , 8) and (5 , -4).
An equation of a line in slope-intercept form is given by the formula y = mx + b, where m is the slope of the line and b is the y- intercept.
Given two points passed through by the line, you can use them to write the equation of the line in slope-intercept form.
1. Find the slope of the line using the two given points.
let Point 1(-1 , 8) and Point 2(5 , -4)
slope = m = (y2 - y1) / (x2 -x1)
m = (-4 - 8) / (5 - -1)
m = -12 / 6
m = -2
2. Use the value of the slope and one of the points to find the value of the y-intercept, b. Plug in these values in the formula for slope-intercept form.
y = mx+ b
y = -2x + b
Using Point 1,
8 = -2(-1) + b
8 = 2 + b
b = 6
3. Write the equation of the line in slope-intercept form.
y = mx+ b
where m = -2 and b = 6
y = -2x + 6
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