Plz help A line passes through the points (3,7) and (4,9), Find the equation of the line in slope-intercept form and also in standard form.

My account
Edit my Profile
Private messages
My favorites

Ask a Question
Questions
Unanswered
Tags
Categories
Ask a Question

asked Mar 25, 2018 91.3k views

4 votes

Plz help

A line passes through the points (3,7) and (4,9), Find the equation of the line in slope-intercept form and also in standard form.

Mathematics
college

Webjedi asked

by Webjedi

8.4k points

0 Comments

Please log in or register to add a comment.

Please log in or register to answer this question.

1 Answer

4 votes

$\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ 3}}\quad ,&{{7}})\quad % (c,d) &({{ 4}}\quad ,&{{ 9}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{9-7}{4-3}\implies \cfrac{2}{1}\implies 2$

$\bf \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-7=2(x-3)\implies y-7=2x-6 \\\\\\ y=2x+1\qquad \qquad \qquad \qquad \qquad \qquad \stackrel{standard~form}{-2x+y=1}$

Bonney answered Apr 1, 2018