y = x - 4 is an equation of the line in slope-intercept form passing through points (4 , 0) and (-3 , -7)
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(4 , 0) and Point 2(-3 , -7)
slope = m = (y2 - y1) / (x2 -x1)
m = (-7 - 0) / (-3 - 4)
m = -7/-7
m = 1
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 = 1x + b
Using Point 1,
0 = 1(4) + b
b = -4
3. Write the equation of the line in slope-intercept form.
y = mx+ b
where m = 1 and b = -4
y = x - 4
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