Answer:
y=2x+24
Step-by-step explanation:
Hi there!
We are given that a line has a slope of 2 and passes through (-7, 10)
We want to write the equation of this line in slope-intercept form
Slope-intercept form is written as y=mx+b, where m is the slope and b is the y-intercept
As we are already given the slope, we can immediately substitute it in for m
So replace m with 2 in y=mx+b
y=2x + b
Now we need to find b
As the equation passes through the point (-7, 10), we can use its values to help us find the value of b
Substitute -7 as x and 10 as y
10 = 2(-7) + b
Multiply
10 = -14 + b
Add 14 to both sides
24 = b
Substitute 24 as b into the equation
y = 2x + 24
Hope this helps!
See more on finding the equation of the line here: https://brainly.com/question/27582464
