Math

QuestionFind the slope-intercept form of the line through (8,7)(-8,7) with slope 34\frac{3}{4}.

Studdy Solution

STEP 1

Assumptions1. The line passes through the point (8,7)(-8,7). The slope of the line is 34\frac{3}{4}
3. We need to find the equation of the line in slope-intercept form, which is y=mx+by = mx + b, where mm is the slope and bb is the y-intercept.

STEP 2

We can start by substituting the given slope and the coordinates of the point into the slope-intercept form of the equation.
y=mx+by = mx + bSubstitute m=4m = \frac{}{4}, x=8x = -8, and y=7y =77=48+b7 = \frac{}{4} \cdot -8 + b

STEP 3

implify the equation to solve for bb.
7=6+b7 = -6 + b

STEP 4

Add6 to both sides of the equation to isolate bb.
7+6=6+6+b7 +6 = -6 +6 + b

STEP 5

implify the equation to find the value of bb.
b=13b =13

STEP 6

Now that we have the slope and the y-intercept, we can write the equation of the line in slope-intercept form.
y=mx+by = mx + bSubstitute m=34m = \frac{3}{4} and b=13b =13y=34x+13y = \frac{3}{4}x +13So, the equation of the line in slope-intercept form that passes through the point (8,)(-8,) and has a slope of 34\frac{3}{4} is y=34x+13y = \frac{3}{4}x +13.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord