Answer:
The equation in slope-intercept form will be:
- y = -2x + 14
Step-by-step explanation:
Given
- slope = m = -2
- point (5, 4)
We know that the slope-intercept form of the line equation is
where m is the slope of the line and b is the y-intercept
substituting m = -2 and the point (5, 4) in the slope-intercept form to get the y-intercept 'b'
y = mx+b
4 = -2(5) + b
4 = -10 + b
b = 4+10
b = 14
now substituting m = -2 and b = 14 in the slope-intercept form to get the equation in slope-intercept
y = mx+b
y = -2x + 14
Therefore, the equation in slope-intercept form will be:
- y = -2x + 14