Respuesta :
Answer:
Step-by-step explanation:
slope-intercept formula.. y= mx + b
so that's the form we want to get to
use the point-slope formula to get there y-y1 = m(x-x1)
m= slope and (x1,y1) is your given point
y-5 = 4(x-3.5)
y-4 = 4x - 14
y = 4x -14 +4
y = 4x -10
this looks like the slope-intercept form :)
The equation of a line with slope 4 that passes through the point (3.5,5) in slope-intercept form is y = 4x - 9 where y-intercept is -9
What is a linear equation?
It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as the linear equation in one variable.
We have:
The slope of the line = 4
The line passes through a point (3.5, 5)
We know the equation of the line that has slope m and y-intercept c:
y = mx + c
y = 4x + c (m = 3)
Point (3.5, 5) must satisfy the above line equation:
5 = 4(3.5) + c
c = -9 put this value in the line equation we get:
y = 4x -9
Thus, the equation of a line with slope 4 that passes through the point (3.5,5) in slope-intercept form is y = 4x - 9 where y-intercept is -9
Learn more about the linear equation here:
brainly.com/question/11897796
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